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Vodopyanov, Sergei Konstantinovich

Statistics Math-Net.Ru
Total publications: 67
Scientific articles: 59
Presentations: 3

Number of views:
This page:7006
Abstract pages:19540
Full texts:5915
References:1515
Professor
Doctor of physico-mathematical sciences (1993)
Birth date: 9.12.1946
E-mail:
Keywords: Lebesgue spaces of differential forms, distortion of mappings, quasiconformal mapping, cogomology of Riemannian manifolds.

http://www.mathnet.ru/eng/person13262
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/230666

Publications in Math-Net.Ru
2020
1. 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; Sb. Math., 211:6 (2020), 786–837  isi
2019
2. S. K. Vodopyanov, “Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds”, Mat. Sb., 210:1 (2019),  63–112  mathnet  elib; Sb. Math., 210:1 (2019), 59–104  isi  scopus
3. 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
2018
4. 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
5. 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
6. 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
2017
7. 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
8. 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
2016
9. 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
2015
10. 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
11. 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
2014
12. 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
2013
13. 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
2012
14. 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
2010
15. 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. 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
2009
17. 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
18. 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
2008
19. 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
2007
20. 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
21. 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
22. 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
23. 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
2006
24. 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
25. 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
2005
26. 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
2004
27. 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
2003
28. 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
29. 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
30. 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
2002
31. S. K. Vodop'yanov, A. D.-O. Ukhlov, “Superposition operators in Sobolev spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, 10,  11–33  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 46:10 (2002), 9–31
32. 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
33. 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
2000
34. 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
1999
35. 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
1998
36. 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
37. 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
1996
38. 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
39. S. K. Vodopyanov, “Quasiconformal mappings on Carnot groups and their applications”, Dokl. Akad. Nauk, 347:4 (1996),  439–442  mathnet  mathscinet  zmath
40. 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
41. 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
42. 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
1995
43. 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
44. 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
45. 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
46. 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
47. 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
48. 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
1992
49. 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
50. 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
1990
51. 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
52. S. K. Vodop'yanov, “The $L_p$ potential theory for generalized kernels”, Mat. Zametki, 47:5 (1990),  146–148  mathnet  mathscinet  zmath
1989
53. 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
1988
54. 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
55. 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
56. 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
1987
57. 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
58. 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
1979
59. 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
1978
60. 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
1975
61. 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
1974
62. 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

2018
63. 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
64. 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
65. 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
66. 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
67. 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
68. 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
69. 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
70. 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.
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   
2. 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   
3. 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
 
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