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Vodopyanov, Sergei Konstantinovich
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 9.12.1946
E-mail:
Keywords: Lebesgue spaces of differential forms, distortion of mappings, quasiconformal mapping, cogomology of Riemannian manifolds.

https://www.mathnet.ru/eng/person13262
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/230666
https://orcid.org/0000-0003-1238-4956

Publications in Math-Net.Ru Citations
2025
1. S. K. Vodopyanov, S. V. Pavlov, “On closure of the class of homeomorphisms with integrable distortion and the minimization of functionals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 6,  73–79  mathnet
2. S. K. Vodopyanov, D. A. Sboev, “Change of variables for Sobolev class functions on metric measure spaces”, Uspekhi Mat. Nauk, 80:5(485) (2025),  181–182  mathnet
3. S. K. Vodopyanov, “New properties of composition operators in Sobolev spaces on Riemannian manifolds”, Sibirsk. Mat. Zh., 66:4 (2025),  596–612  mathnet; Siberian Math. J., 66:4 (2025), 914–927 3
4. S. K. Vodopyanov, S. V. Pavlov, “Nonlinear elasticity problems on Carnot groups and quasiconformal analysis”, Sibirsk. Mat. Zh., 66:3 (2025),  416–437  mathnet; Siberian Math. J., 66:3 (2025), 672–690 1
2024
5. S. K. Vodopyanov, S. Pavlov, “Functional properties of limits of Sobolev homeomorphisms with integrable distortion”, CMFD, 70:2 (2024),  215–236  mathnet; Journal of Mathematical Sciences, 286:3 (2024), 322–342 6
6. S. V. Pavlov, S. K. Vodopyanov, “Weak continuity of Jacobians of $W_\nu^1$-homeomorphisms on Carnot groups”, Eurasian Math. J., 15:4 (2024),  82–95  mathnet 3
7. S. K. Vodopyanov, D. A. Sboev, “Lower semicontinuity of distortion coefficients for homeomorphisms of bounded $(1, \sigma)$-weighted $(q,p)$-distortion on Carnot groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3,  84–90  mathnet; Russian Math. (Iz. VUZ), 68:3 (2024), 70–75 1
8. S. K. Vodopyanov, “Composition operators in Sobolev spaces on Riemannian manifolds”, Sibirsk. Mat. Zh., 65:6 (2024),  1128–1152  mathnet; Siberian Math. J., 65:6 (2024), 1305–1326 3
9. S. K. Vodopyanov, “The geometric function properties of the limits of ACL-mappings with integrable distortion”, Sibirsk. Mat. Zh., 65:5 (2024),  820–840  mathnet; Siberian Math. J., 65:5 (2024), 1026–1042 3
10. S. K. Vodopyanov, D. A. Sboev, “Semicontinuity under convergence of homeomorphisms in $L_{1, \mathrm{loc}}$ of the operator distortion function”, Sibirsk. Mat. Zh., 65:4 (2024),  605–621  mathnet; Siberian Math. J., 65:4 (2024), 737–750 3
11. S. K. Vodopyanov, S. V. Pavlov, “Boundary values in the geometric function theory in domains with moving boundaries”, Sibirsk. Mat. Zh., 65:3 (2024),  489–516  mathnet; Siberian Math. J., 65:3 (2024), 552–574 1
2023
12. S. K. Vodopyanov, A. O. Molchanova, “The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms”, Izv. RAN. Ser. Mat., 87:4 (2023),  47–90  mathnet  mathscinet  zmath; Izv. Math., 87:4 (2023), 683–725  isi  scopus 4
13. S. G. Basalaev, S. K. Vodopyanov, “Openness and discreteness of mappings of finite distortion on Carnot groups”, Sibirsk. Mat. Zh., 64:6 (2023),  1151–1159  mathnet; Siberian Math. J., 64:6 (2023), 1289–1296 6
14. S. K. Vodopyanov, “Continuity of the mappings with finite distortion of the Sobolev class $W^1_{\nu,\operatorname{loc}}$ on Carnot groups”, Sibirsk. Mat. Zh., 64:5 (2023),  912–934  mathnet; Siberian Math. J., 64:5 (2023), 1091–1109 7
15. S. G. Basalaev, S. K. Vodopyanov, “Hölder continuity of the traces of Sobolev functions to hypersurfaces in Carnot groups and the $\mathcal{P}$-differentiability of Sobolev mappings”, Sibirsk. Mat. Zh., 64:4 (2023),  700–719  mathnet; Siberian Math. J., 64:4 (2023), 819–835 7
16. S. K. Vodopyanov, “On the Gehring type condition and properties of mappings”, Vladikavkaz. Mat. Zh., 25:3 (2023),  51–58  mathnet
2022
17. S. K. Vodopyanov, “Coincidence of set functions in quasiconformal analysis”, Mat. Sb., 213:9 (2022),  3–33  mathnet  mathscinet  zmath; Sb. Math., 213:9 (2022), 1157–1186  isi  scopus 4
18. S. K. Vodopyanov, N. A. Evseev, “Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups”, Sibirsk. Mat. Zh., 63:2 (2022),  283–315  mathnet; Siberian Math. J., 63:2 (2022), 233–261 14
19. S. K. Vodopyanov, “On Poletsky-type modulus inequalities for some classes of mappings”, Vladikavkaz. Mat. Zh., 24:4 (2022),  58–69  mathnet  mathscinet 1
2021
20. S. K. Vodopyanov, A. O. Tomilov, “Functional and analytic properties of a class of mappings in quasi-conformal analysis”, Izv. RAN. Ser. Mat., 85:5 (2021),  58–109  mathnet  zmath  elib; Izv. Math., 85:5 (2021), 883–931  isi  scopus 13
21. S. K. Vodopyanov, “On the equivalence of two approaches to problems of quasiconformal analysis”, Sibirsk. Mat. Zh., 62:6 (2021),  1252–1270  mathnet  elib; Siberian Math. J., 62:6 (2021), 1010–1025  isi  scopus 5
22. S. K. Vodopyanov, “A pointwise condition for the absolute continuity of a function of one variable and its applications”, Vladikavkaz. Mat. Zh., 23:4 (2021),  41–49  mathnet
2020
23. S. K. Vodopyanov, “Composition operators on weighted Sobolev spaces and the theory of $\mathscr{Q}_p$-homeomorphisms”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020),  21–25  mathnet  zmath  elib; Dokl. Math., 102:2 (2020), 371–375 9
24. S. K. Vodopyanov, “On the Analytic and Geometric Properties of Mappings in the Theory of $\mathscr Q_{q,p}$-Homeomorphisms”, Mat. Zametki, 108:6 (2020),  925–929  mathnet  mathscinet  elib; Math. Notes, 108:6 (2020), 889–894  isi  scopus 11
25. S. K. Vodopyanov, A. I. Tyulenev, “Sobolev $W^1_p$-spaces on $d$-thick closed subsets of $\mathbb R^n$”, Mat. Sb., 211:6 (2020),  40–94  mathnet  mathscinet  zmath  elib; Sb. Math., 211:6 (2020), 786–837  isi  scopus 5
26. S. K. Vodopyanov, “The regularity of inverses to Sobolev mappings and the theory of $\mathscr Q_{q,p}$-homeomorphisms”, Sibirsk. Mat. Zh., 61:6 (2020),  1257–1299  mathnet  elib; Siberian Math. J., 61:6 (2020), 1002–1038  isi  scopus 13
2019
27. S. K. Vodopyanov, “Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds”, Mat. Sb., 210:1 (2019),  63–112  mathnet  mathscinet  zmath  elib; Sb. Math., 210:1 (2019), 59–104  isi  scopus 11
28. S. K. Vodopyanov, “Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings”, Sibirsk. Mat. Zh., 60:5 (2019),  996–1034  mathnet  elib; Siberian Math. J., 60:5 (2019), 774–804  isi  scopus 6
2018
29. N. A. Kudryavtseva, S. K. Vodopyanov, “On the convergence of mappings with $k$-finite distortion”, Probl. Anal. Issues Anal., 7(25):special issue (2018),  88–100  mathnet  isi  elib
30. S. K. Vodopyanov, “Differentiability of mappings of the Sobolev space $W^1_{n-1}$ with conditions on the distortion function”, Sibirsk. Mat. Zh., 59:6 (2018),  1240–1267  mathnet  elib; Siberian Math. J., 59:6 (2018), 983–1005  isi  scopus 12
31. S. K. Vodopyanov, “Basics of the quasiconformal analysis of a two-index scale of spatial mappings”, Sibirsk. Mat. Zh., 59:5 (2018),  1020–1056  mathnet  elib; Siberian Math. J., 59:5 (2018), 805–834  isi  scopus 12
2017
32. A. I. Tyulenev, S. K. Vodop'yanov, “On the Whitney Problem for Weighted Sobolev Spaces”, Dokl. Akad. Nauk, 472:6 (2017),  634–638  mathnet  mathscinet  elib; Dokl. Math., 95:1 (2017), 79–83  isi  scopus 3
33. S. K. Vodop'yanov, N. A. Kudryavtseva, “On the Convergence of Mappings with $k$-Finite Distortion”, Mat. Zametki, 102:6 (2017),  943–948  mathnet  elib; Math. Notes, 102:6 (2017), 878–883  isi  scopus 2
2016
34. S. K. Vodop'yanov, A. O. Molchanova, “Lower semicontinuity of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion”, Sibirsk. Mat. Zh., 57:5 (2016),  999–1011  mathnet  elib; Siberian Math. J., 57:5 (2016), 778–787  isi  elib  scopus 7
2015
35. S. K. Vodop'yanov, N. A. Evseev, “Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings”, Sibirsk. Mat. Zh., 56:5 (2015),  989–1029  mathnet  elib; Siberian Math. J., 56:5 (2015), 789–821  isi  elib  scopus 8
36. A. N. Baykin, S. K. Vodop'yanov, “Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded $(p,q)$-distortion”, Sibirsk. Mat. Zh., 56:2 (2015),  290–321  mathnet  mathscinet  elib; Siberian Math. J., 56:2 (2015), 237–261  isi  elib  scopus 17
2014
37. S. K. Vodop'yanov, N. A. Evseev, “Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings”, Sibirsk. Mat. Zh., 55:5 (2014),  1001–1039  mathnet  mathscinet; Siberian Math. J., 55:5 (2014), 817–848  isi  scopus 19
2013
38. S. G. Basalaev, S. K. Vodopyanov, “Approximate differentiability of mappings of Carnot–Carathéodory spaces”, Eurasian Math. J., 4:2 (2013),  10–48  mathnet  mathscinet  zmath 39
2012
39. S. K. Vodopyanov, “Regularity of mappings inverse to Sobolev mappings”, Mat. Sb., 203:10 (2012),  3–32  mathnet  mathscinet  zmath  elib; Sb. Math., 203:10 (2012), 1383–1410  isi  scopus 53
2010
40. D. V. Isangulova, S. K. Vodopyanov, “Coercive estimates and integral representation formulas on Carnot groups”, Eurasian Math. J., 1:3 (2010),  58–96  mathnet  mathscinet  zmath 16
41. S. K. Vodop'yanov, “Spaces of differential forms and maps with controlled distortion”, Izv. RAN. Ser. Mat., 74:4 (2010),  5–32  mathnet  mathscinet  zmath  elib; Izv. Math., 74:4 (2010), 663–689  isi  elib  scopus 13
2009
42. S. K. Vodop'yanov, “Spaces of differential forms and mappings with controlled distortion”, Dokl. Akad. Nauk, 424:6 (2009),  727–731  mathnet  mathscinet; Dokl. Math., 79:1 (2009), 105–109  isi  scopus 1
43. S. K. Vodop'yanov, N. A. Kudryavtseva, “Nonlinear potential theory for Sobolev spaces on Carnot groups”, Sibirsk. Mat. Zh., 50:5 (2009),  1016–1036  mathnet  mathscinet  elib; Siberian Math. J., 50:5 (2009), 803–819  isi  scopus 7
2008
44. S. K. Vodop'yanov, N. N. Romanovskii, “Sobolev classes of mappings on a Carnot–Carathéodory space: Various norms and variational problems”, Sibirsk. Mat. Zh., 49:5 (2008),  1028–1045  mathnet  mathscinet  elib; Siberian Math. J., 49:5 (2008), 814–828  isi  scopus 6
2007
45. S. K. Vodop'yanov, I. M. Pupyshev, “The Traces of Bessel Potentials on Regular Subsets of Carnot Groups”, Mat. Tr., 10:2 (2007),  19–61  mathnet  mathscinet; Siberian Adv. Math., 18:1 (2008), 44–75 2
46. S. K. Vodop'yanov, I. M. Pupyshev, “Traces of Sobolev functions on the Ahlfors sets of Carnot groups”, Sibirsk. Mat. Zh., 48:6 (2007),  1201–1221  mathnet  mathscinet  zmath; Siberian Math. J., 48:6 (2007), 961–978  isi  scopus 7
47. S. K. Vodop'yanov, “Differentiability of mappings in the geometry of Carnot manifolds”, Sibirsk. Mat. Zh., 48:2 (2007),  251–271  mathnet  mathscinet  zmath; Siberian Math. J., 48:2 (2007), 197–213  isi  scopus 19
48. S. K. Vodop'yanov, D. V. Isangulova, “Differentiability of the mappings of Carnot–Caratheodory spaces in the Sobolev and $BV$-topologies”, Sibirsk. Mat. Zh., 48:1 (2007),  46–67  mathnet  mathscinet  zmath  elib; Siberian Math. J., 48:1 (2007), 37–55  isi  scopus 7
2006
49. S. K. Vodop'yanov, I. M. Pupyshev, “Boundary Values of Differentiable Functions Defined on an Arbitrary Domain of a Carnot Group”, Mat. Tr., 9:2 (2006),  23–46  mathnet  mathscinet; Siberian Adv. Math., 17:1 (2007), 62–78 2
50. S. K. Vodop'yanov, I. M. Pupyshev, “Whitney-type theorems on extension of functions on Carnot groups”, Sibirsk. Mat. Zh., 47:4 (2006),  731–752  mathnet  mathscinet  zmath; Siberian Math. J., 47:4 (2006), 601–620  isi  scopus 20
2005
51. S. K. Vodop'yanov, “Foundations of the theory of mappings with bounded distortion on Carnot groups”, Dokl. Akad. Nauk, 405:1 (2005),  7–12  mathnet  mathscinet  elib 4
2004
52. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. II”, Mat. Tr., 7:1 (2004),  13–49  mathnet  mathscinet  zmath  elib; Siberian Adv. Math., 15:1 (2005), 91–125 28
2003
53. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. I”, Mat. Tr., 6:2 (2003),  14–65  mathnet  mathscinet  zmath  elib; Siberian Adv. Math., 14:4 (2004), 78–125 66
54. S. K. Vodop'yanov, “Differentiability of maps of Carnot groups of Sobolev classes”, Mat. Sb., 194:6 (2003),  67–86  mathnet  mathscinet  zmath  elib; Sb. Math., 194:6 (2003), 857–877  isi  scopus 44
55. S. K. Vodop'yanov, “The geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory”, Vladikavkaz. Mat. Zh., 5:1 (2003),  14–34  mathnet  mathscinet  zmath 15
2002
56. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Superposition operators in Sobolev spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 10,  11–33  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 46:10 (2002), 9–31 60
57. S. K. Vodop'yanov, “Closure of Classes of Mappings with Bounded Distortion on Carnot Groups”, Mat. Tr., 5:2 (2002),  92–137  mathnet  mathscinet  zmath  elib; Siberian Adv. Math., 14:1 (2004), 84–125 31
58. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Superposition operators in Lebesgue spaces and the differentiability of quasi-additive set functions”, Vladikavkaz. Mat. Zh., 4:1 (2002),  11–33  mathnet  mathscinet  zmath 13
2000
59. S. K. Vodop'yanov, “Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I”, Sibirsk. Mat. Zh., 41:1 (2000),  23–48  mathnet  mathscinet  zmath; Siberian Math. J., 41:1 (2000), 19–39  isi 36
1999
60. S. K. Vodop'yanov, “Mappings with bounded distortion and with finite distortion on Carnot groups”, Sibirsk. Mat. Zh., 40:4 (1999),  764–804  mathnet  mathscinet  zmath; Siberian Math. J., 40:4 (1999), 644–677  isi 46
1998
61. S. K. Vodop'yanov, I. G. Markina, “Classification of sub-Riemannian manifolds”, Sibirsk. Mat. Zh., 39:6 (1998),  1271–1289  mathnet  mathscinet  zmath; Siberian Math. J., 39:6 (1998), 1096–1111  isi 6
62. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Sobolev spaces and $(P,Q)$-quasiconformal mappings of Carnot groups”, Sibirsk. Mat. Zh., 39:4 (1998),  776–795  mathnet  mathscinet  zmath; Siberian Math. J., 39:4 (1998), 665–682  isi 98
1996
63. S. K. Vodopyanov, A. V. Greshnov, “Continuation of differentiable functions, and quasiconformal mappings on Carnot groups”, Dokl. Akad. Nauk, 348:1 (1996),  15–18  mathnet  mathscinet  zmath 1
64. S. K. Vodopyanov, “Quasiconformal mappings on Carnot groups and their applications”, Dokl. Akad. Nauk, 347:4 (1996),  439–442  mathnet  mathscinet  zmath 6
65. S. K. Vodopyanov, I. G. Markina, “Fundamentals of the nonlinear potential theory for subelliptic equations”, Trudy Inst. Mat. SO RAN, 31 (1996),  100–160  mathnet  mathscinet  zmath
66. S. K. Vodop'yanov, “Monotone functions and quasiconformal mappings on Carnot groups”, Sibirsk. Mat. Zh., 37:6 (1996),  1269–1295  mathnet  mathscinet  zmath; Siberian Math. J., 37:6 (1996), 1113–1136  isi 65
67. S. K. Vodop'yanov, N. A. Kudryavtseva, “Normal families of mappings on Carnot groups”, Sibirsk. Mat. Zh., 37:2 (1996),  273–286  mathnet  mathscinet  zmath; Siberian Math. J., 37:2 (1996), 232–244  isi 9
68. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Approximately differentiable transformations and change of variables on nilpotent groups”, Sibirsk. Mat. Zh., 37:1 (1996),  70–89  mathnet  mathscinet  zmath; Siberian Math. J., 37:1 (1996), 62–78  isi 45
1995
69. S. K. Vodopyanov, A. D.-O. Ukhlov, “Weakly contact transformations and change of variables on nilpotent groups”, Dokl. Akad. Nauk, 341:4 (1995),  439–441  mathnet  mathscinet  zmath
70. S. K. Vodopyanov, V. M. Chernikov, “Sobolev spaces and hypoelliptic equations”, Trudy Inst. Mat. SO RAN, 29 (1995),  7–62  mathnet  mathscinet  zmath 2
71. S. K. Vodop'yanov, A. V. Greshnov, “Analytic properties of quasiconformal mappings on Carnot groups”, Sibirsk. Mat. Zh., 36:6 (1995),  1317–1327  mathnet  mathscinet  zmath; Siberian Math. J., 36:6 (1995), 1142–1151  isi 21
72. S. K. Vodop'yanov, A. V. Greshnov, “On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric”, Sibirsk. Mat. Zh., 36:5 (1995),  1015–1048  mathnet  mathscinet  zmath; Siberian Math. J., 36:5 (1995), 873–901  isi 30
73. S. K. Vodop'yanov, I. G. Markina, “Exceptional sets for solutions to subelliptic equations”, Sibirsk. Mat. Zh., 36:4 (1995),  805–818  mathnet  mathscinet  zmath; Siberian Math. J., 36:4 (1995), 694–706  isi 6
74. S. K. Vodop'yanov, “Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations”, Sibirsk. Mat. Zh., 36:2 (1995),  278–300  mathnet  mathscinet  zmath; Siberian Math. J., 36:2 (1995), 246–264  isi 11
75. S. K. Vodop'yanov, “Thin sets in weighted potential theory and degenerate elliptic equations”, Sibirsk. Mat. Zh., 36:1 (1995),  28–36  mathnet  mathscinet  zmath; Siberian Math. J., 36:1 (1995), 24–32  isi 1
1992
76. M. S. Alborova, S. K. Vodopyanov, “Removable singularities of bounded solutions of quasi-elliptic equations”, Sibirsk. Mat. Zh., 33:4 (1992),  3–14  mathnet  mathscinet  zmath; Siberian Math. J., 33:4 (1992), 543–556  isi
77. S. K. Vodopyanov, “Weighted $L_p$ potential theory on homogeneous groups”, Sibirsk. Mat. Zh., 33:2 (1992),  29–48  mathnet  mathscinet  zmath; Siberian Math. J., 33:2 (1992), 201–218  isi 10
1991
78. Yu. I. Boyarskii, S. K. Vodopyanov, “Intrinsic metrics and boundary values of functions of Zygmund classes”, Sibirsk. Mat. Zh., 32:2 (1991),  3–12  mathnet  mathscinet  zmath; Siberian Math. J., 32:2 (1991), 177–185  isi
1990
79. S. K. Vodopyanov, “Weighted $L_p$ potential theory on homogeneous groups”, Dokl. Akad. Nauk SSSR, 314:1 (1990),  37–41  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 265–270
80. S. K. Vodop'yanov, “The $L_p$ potential theory for generalized kernels”, Mat. Zametki, 47:5 (1990),  146–148  mathnet  mathscinet  zmath 1
1989
81. S. K. Vodopyanov, “$L_p$-theory of potential and quasiconformal mappings on homogeneous groups”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 14 (1989),  45–89  mathnet  mathscinet  zmath
82. S. K. Vodop'yanov, “Potential theory on homogeneous groups”, Mat. Sb., 180:1 (1989),  57–77  mathnet  mathscinet  zmath; Math. USSR-Sb., 66:1 (1990), 59–81  isi 9
83. S. K. Vodopyanov, “Mappings of homogeneous groups and imbeddings of functional spaces”, Sibirsk. Mat. Zh., 30:5 (1989),  25–41  mathnet  mathscinet  zmath; Siberian Math. J., 30:5 (1989), 685–698  isi 21
84. S. K. Vodopyanov, “Intrinsic geometries and boundary values of differentiable functions. I”, Sibirsk. Mat. Zh., 30:2 (1989),  29–42  mathnet  mathscinet  zmath; Siberian Math. J., 30:2 (1989), 191–202  isi 4
1988
85. S. K. Vodopyanov, “Potential theory on homogeneous groups”, Dokl. Akad. Nauk SSSR, 303:1 (1988),  11–15  mathnet  mathscinet  zmath; Dokl. Math., 38:3 (1989), 447–451
86. S. K. Vodopyanov, “Equivalent normings of spaces of differentiable functions in domains and their applications”, Dokl. Akad. Nauk SSSR, 300:4 (1988),  777–781  mathnet  mathscinet  zmath; Dokl. Math., 37:3 (1988), 708–713
87. S. K. Vodopyanov, “Quasielliptic $L_p$-theory of potential and its applications”, Dokl. Akad. Nauk SSSR, 298:4 (1988),  780–784  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 133–137 1
88. S. K. Vodopyanov, “The maximum principle in potential theory and embedding theorems for anisotropic spaces of differentiable functions”, Sibirsk. Mat. Zh., 29:2 (1988),  17–33  mathnet  mathscinet  zmath; Siberian Math. J., 29:2 (1988), 176–189  isi 6
1987
89. S. K. Vodopyanov, “Geometric properties of domains and estimates for the norm of an extension operator”, Dokl. Akad. Nauk SSSR, 292:4 (1987),  791–795  mathnet  mathscinet 1
90. S. K. Vodopyanov, “Isoperimetric relations and conditions for the extension of differentiable functions”, Dokl. Akad. Nauk SSSR, 292:1 (1987),  11–15  mathnet  mathscinet  zmath 2
91. S. K. Vodopyanov, “Geometric properties of domains and mappings. Lower bounds on the norm of the extension operator”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 7 (1987),  70–101  mathnet  mathscinet  zmath
1979
92. S. K. Vodop'yanov, V. M. Gol'dstein, Yu. G. Reshetnyak, “On geometric properties of functions with generalized first derivatives”, Uspekhi Mat. Nauk, 34:1(205) (1979),  17–65  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:1 (1979), 19–74 48
93. S. K. Vodopyanov, V. M. Gol'dstein, T. G. Latfullin, “A criterion for the extension of functions of the class $L_2^1$ from unbounded plane domains”, Sibirsk. Mat. Zh., 20:2 (1979),  416–419  mathnet  mathscinet  zmath; Siberian Math. J., 20:2 (1979), 298–301  isi 23
1978
94. V. M. Gol'dstein, S. K. Vodop'yanov, “Metric completion of a domain by using a conformal capacity invariant under quasi-conformal mappings”, Dokl. Akad. Nauk SSSR, 238:5 (1978),  1040–1042  mathnet  mathscinet  zmath 7
1977
95. S. K. Vodopyanov, V. M. Gol'dstein, “A test of the removability of sets for $L_p^1$ spaces of quasiconformal and quasi-isomorphic mappings”, Sibirsk. Mat. Zh., 18:1 (1977),  48–68  mathnet  mathscinet  zmath; Siberian Math. J., 18:1 (1977), 35–50  isi 33
1976
96. S. K. Vodopyanov, V. M. Gol'dstein, “Functional characterizations of quasi-isometric mappings”, Sibirsk. Mat. Zh., 17:4 (1976),  768–773  mathnet  mathscinet  zmath; Siberian Math. J., 17:4 (1976), 580–584  isi 22
97. S. K. Vodopyanov, V. M. Gol'dstein, “Quasiconformal mappings, and spaces of functions with first generalized derivatives”, Sibirsk. Mat. Zh., 17:3 (1976),  515–531  mathnet  mathscinet  zmath; Siberian Math. J., 17:3 (1976), 399–411  isi 34
1975
98. S. K. Vodop'yanov, V. M. Gol'dstein, “A criterion for the possibility of eliminating sets for the spaces $W_p^1$ of quasiconformal and quasi-isometric mappings”, Dokl. Akad. Nauk SSSR, 220:4 (1975),  769–771  mathnet  mathscinet  zmath 2
99. S. K. Vodopyanov, “The boundary correspondence for quasiconformal mappings of $n$-dimensional domains”, Sibirsk. Mat. Zh., 16:3 (1975),  630–633  mathnet  mathscinet  zmath; Siberian Math. J., 16:3 (1975), 487–490  isi 3
100. S. K. Vodopyanov, V. M. Gol'dstein, “Lattice isomorphisms of the spaces $W_n^1$ and quasiconformal mappings”, Sibirsk. Mat. Zh., 16:2 (1975),  224–246  mathnet  mathscinet  zmath; Siberian Math. J., 16:2 (1975), 174–189  isi 49
1974
101. S. K. Vodop'yanov, V. M. Gol'dstein, “Lattice isomorphisms of the spaces $W_n^1$, and quasiconformal mappings”, Dokl. Akad. Nauk SSSR, 215:1 (1974),  24–26  mathnet  mathscinet  zmath 1
1970
102. S. K. Vodopyanov, “Estimates of the deviation of quasi-umbilical surfaces from a sphere”, Sibirsk. Mat. Zh., 11:5 (1970),  971–987  mathnet  mathscinet  zmath; Siberian Math. J., 11:5 (1970), 724–735 2
2025
103. A. V. Abanin, S. K. Vodopyanov, E. I. Gordon, A. E. Gutman, V. N. Dyatlov, E. Yu. Emelyanov, A. I. Kozhanov, A. G. Kusraev, G. G. Magaril-Il'yaev, Yu. G. Nikanorov, V. M. Tikhomirov, V. G. Troitskii, S. M. Umarkhadzhiev, “In memory of Semen Samsonovich Kutateladze (02.10.1945–15.01.2025)”, Vladikavkaz. Mat. Zh., 27:1 (2025),  154  mathnet
2021
104. A. V. Abanin, O. G. Avsyankin, V. I. Burenkov, B. G. Vakulov, S. K. Vodopyanov, M. L. Gol'dman, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, V. M. Kokilashvili, A. G. Kusraev, E. R. Liflyand, A. V. Pskhu, V. S. Rabinovich, S. V. Rogozin, B. S. Rubin, A. P. Soldatov, I. M. Spitkovsky, V. D. Stepanov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Stefan Grigorievich Samko (on the occasion of his 80th birthday)”, Vladikavkaz. Mat. Zh., 23:3 (2021),  126–129  mathnet
2018
105. A. V. Abanin, E. K. Basaeva, A. O. Vatulyan, S. K. Vodop'yanov, A. E. Gutman, V. A. Koibaev, Yu. F. Korobeinik, S. B. Klimentov, S. S. Kutateladze, A. A. Makhnev, B. B. Tasoev, S. M. Umarkhadzhiev, M. Z. Hudalov, “To the 65-th anniversary of prof. A. G. Kusraev”, Vladikavkaz. Mat. Zh., 20:2 (2018),  111–119  mathnet
2014
106. F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, A. A. Klyachin, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Uspekhi Mat. Nauk, 69:3(417) (2014),  173–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:3 (2014), 565–568  isi
2013
107. D. A. Archangelsky, B. S. Baizhanov, O. V. Belegradek, V. Ya. Belyaev, L. A. Bokut, M. K. Valiev, S. K. Vodopyanov, M. Gitik, Yu. S. Gurevich, D. O. Daderkin, A. M. Dekhtyar, M. I. Dekhtyar, A. Ya. Dikovsky, S. M. Dudakov, E. I. Zelmanov, B. I. Zilber, S. L. Krushkal, S. S. Kutateladze, Yu. V. Matiyasevich, G. E. Mints, I. Kh. Musikaev, A. K. Rebrov, Yu. G. Reshetnyak, A. L. Semenov, A. P. Stolboushkin, I. A. Taimanov, B. A. Trakhtenbrot, “Mikhail Abramovich Taitslin (1936–2013)”, Sib. Èlektron. Mat. Izv., 10 (2013),  54–65  mathnet
108. S. K. Vodop'yanov, E. I. Gordon, A. E. Gutman, A. V. Koptev, S. S. Kutateladze, S. A. Malyugin, Yu. G. Reshetnyak, “Anatoly Georgievich Kusraev is 60”, Sib. Èlektron. Mat. Izv., 10 (2013),  13–29  mathnet
109. S. K. Vodop'yanov, E. I. Gordon, A. E. Gutman, A. V. Koptev, S. S. Kutateladze, S. A. Malyugin, Yu. G. Reshetnyak, “Anatolii Georgievich Kusraev (on the occasion of his 60th anniversary)”, Vladikavkaz. Mat. Zh., 15:1 (2013),  90–97  mathnet
2009
110. A. Yu. Vesnin, S. K. Vodop'yanov, S. S. Kutateladze, S. P. Novikov, I. A. Taimanov, “Yurii Grigor'evich Reshetnyak (on his 80th birthday)”, Uspekhi Mat. Nauk, 64:5(389) (2009),  185–188  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 64:5 (2009), 961–965  isi
111. A. Yu. Vesnin, S. K. Vodop'yanov, S. S. Kutateladze, I. A. Taimanov, “Yurii Grigor'evich Reshetnyak (on the occasion of his 80th birthday)”, Sibirsk. Mat. Zh., 50:5 (2009),  959–962  mathnet  mathscinet
2007
112. Yu. G. Reshetnyak, S. K. Vodop'yanov, V. I. Kuz'minov, S. S. Kutateladze, I. A. Taimanov, “Yuri Fedorovich Borisov (1925–2007)”, Sib. Èlektron. Mat. Izv., 4 (2007),  28–30  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Квазиконформный анализ на римановых поверхностях и его применения
S. K. Vodopyanov
XVII International Kazan school-conference "Function Theory, Its Applications and Related Topics"
August 27, 2025   
2. Функциональные свойства пределов соболевских гомеоморфизмов с интегрируемым искажением и вариационные задачи
S. K. Vodopyanov

May 30, 2024 09:45
3. Отображения с конечным искажением на группах Карно
S. K. Vodopyanov
Seminar on Operator Theory and Function Theory
November 20, 2023 17:30
4. Функциональный подход к задачам геометрической теории функций
S. K. Vodopyanov
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 18, 2023 12:00   
5. Function spaces and geometry of mappings
S. K. Vodopyanov
Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov
May 30, 2023 11:00   
6. Пространства Соболева и теория отображений
S. K. Vodopyanov

November 10, 2022 17:15
7. Variational problems of nonlinear elasticity and composition operators in Sobolev spaces
S. K. Vodopyanov
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 09:30   
8. Квазиконформный анализ и нелинейная теория упругости
S. K. Vodopyanov

August 12, 2021 15:30
9. Quasi-conformal analysis and problems of nonlinear elasticity theory
S. K. Vodopyanov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 8, 2021 18:00   
10. КВАЗИКОНФОРМНЫЙ АНАЛИЗ И ЗАДАЧИ НЕЛИНЕЙНОЙ ТЕОРИИ УПРУГОСТИ
S. K. Vodopyanov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
December 18, 2019 17:00   
11. Properties of a new class of spatial mappings and its applications
S. K. Vodop'yanov
International Conference "Geometric Analysis and Control Theory"
December 11, 2016 17:20   
12. Sobolev Spaces, geometric function theory and its application
S. K. Vodop'yanov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 12:50   

Organisations