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Potapov, Dmitriy Konstantinovich

Statistics Math-Net.Ru
Total publications: 28
Scientific articles: 27

Number of views:
This page:3471
Abstract pages:8018
Full texts:1121
References:965
Associate professor
Candidate of physico-mathematical sciences
E-mail: ,

http://www.mathnet.ru/eng/person29906
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/685868

Publications in Math-Net.Ru
2019
1. V. N. Pavlenko, D. K. Potapov, “On properties of the spectrum of an elliptic boundary-value problem with a parameter and a discontinuous nonlinearity”, Mat. Sb., 210:7 (2019),  145–170  mathnet  elib
2018
2. V. N. Pavlenko, D. K. Potapov, “Elenbaas Problem of Electric Arc Discharge”, Mat. Zametki, 103:1 (2018),  92–100  mathnet  elib; Math. Notes, 103:1 (2018), 89–95  isi  scopus
2017
3. V. N. Pavlenko, D. K. Potapov, “Existence of Three Nontrivial Solutions of an Elliptic Boundary-Value Problem with Discontinuous Nonlinearity in the Case of Strong Resonance”, Mat. Zametki, 101:2 (2017),  247–261  mathnet  mathscinet  elib; Math. Notes, 101:2 (2017), 284–296  isi  scopus
4. V. N. Pavlenko, D. K. Potapov, “Existence of two nontrivial solutions for sufficiently large values of the spectral parameter in eigenvalue problems for equations with discontinuous right-hand sides”, Mat. Sb., 208:1 (2017),  165–182  mathnet  mathscinet  elib; Sb. Math., 208:1 (2017), 157–172  isi  scopus
5. V. N. Pavlenko, D. K. Potapov, “Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities”, Sibirsk. Mat. Zh., 58:2 (2017),  375–385  mathnet  elib; Siberian Math. J., 58:2 (2017), 288–295  isi  elib  scopus
2016
6. V. N. Pavlenko, D. K. Potapov, “Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity”, Mat. Tr., 19:1 (2016),  91–105  mathnet  mathscinet  elib; Siberian Adv. Math., 27:1 (2017), 16–25  scopus
2015
7. V. N. Pavlenko, D. K. Potapov, “The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities”, Mat. Sb., 206:9 (2015),  121–138  mathnet  mathscinet  zmath  elib; Sb. Math., 206:9 (2015), 1281–1298  isi  scopus
2013
8. D. K. Potapov, “Spectral Problems for Variational Inequalities with Discontinuous Operators”, Mat. Zametki, 93:2 (2013),  252–262  mathnet  mathscinet  zmath  elib; Math. Notes, 93:2 (2013), 288–296  isi  elib  scopus
9. D. K. Potapov, “On a number of solutions in problems with spectral parameter for equations with discontinuous operators”, Ufimsk. Mat. Zh., 5:2 (2013),  56–62  mathnet  mathscinet  elib; Ufa Math. J., 5:2 (2013), 56–62
2012
10. D. K. Potapov, “On number of solutions for one class of elliptic equations with a spectral parameter and discontinuous nonlinearity”, Dal'nevost. Mat. Zh., 12:1 (2012),  86–88  mathnet
11. Dmitry K. Potapov, “On elliptic equations with spectral parameter and discontinuous nonlinearity”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012),  417–421  mathnet
12. Dmitry K. Potapov, “Control problems for equations with a spectral parameter and a discontinuous operator under perturbations”, J. Sib. Fed. Univ. Math. Phys., 5:2 (2012),  239–245  mathnet
13. D. K. Potapov, “On solutions of the Gol'dshtik problem”, Sib. Zh. Vychisl. Mat., 15:4 (2012),  409–415  mathnet  elib; Num. Anal. Appl., 5:4 (2012), 342–347  scopus
14. D. K. Potapov, “On a class of elliptic variational inequalities with a spectral parameter and discontinuous nonlinearity”, Sibirsk. Mat. Zh., 53:1 (2012),  205–212  mathnet  mathscinet; Siberian Math. J., 53:1 (2012), 168–173  isi  scopus
15. D. K. Potapov, “On the character of nonlinearity discontinuities in eigenvalue problems for elliptic equations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012),  188–190  mathnet  zmath
16. D. K. Potapov, “On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012),  251–255  mathnet
2011
17. D. K. Potapov, “Estimation of operator norms in eigenvalue problems for equations with discontinuous operators”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 11:4 (2011),  41–45  mathnet
18. D. K. Potapov, “Approximation of the One-Parameter Family of Dirichlet Problems for Higher-Order Elliptic-Type Equations with Discontinuous Nonlinearities in the Resonance Case”, Mat. Zametki, 90:3 (2011),  467–469  mathnet  mathscinet; Math. Notes, 90:3 (2011), 451–454  isi  scopus
19. D. K. Potapov, “Bifurcation Problems for Equations of Elliptic Type with Discontinuous Nonlinearities”, Mat. Zametki, 90:2 (2011),  280–284  mathnet  mathscinet; Math. Notes, 90:2 (2011), 260–264  isi  scopus
20. D. K. Potapov, “A continuous approximation for a 1D analogue of the Gol'dshtik model for separated flows of incompressible fluid”, Sib. Zh. Vychisl. Mat., 14:3 (2011),  291–296  mathnet; Num. Anal. Appl., 4:3 (2011), 234–238  scopus
21. D. K. Potapov, “Approximations of Gol'dshtik's model”, Zhurnal SVMO, 13:2 (2011),  100–107  mathnet
22. D. K. Potapov, “Control of spectral problems for equations with discontinuous operators”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  190–200  mathnet  elib
23. D. K. Potapov, “Estimation of the bifurcation parameter in spectral problems for equations with discontinuous operators”, Ufimsk. Mat. Zh., 3:1 (2011),  43–46  mathnet  zmath; Ufa Math. J., 3:1 (2011), 42–44
2010
24. D. K. Potapov, “Continuous Approximations of Goldshtik's Model”, Mat. Zametki, 87:2 (2010),  262–266  mathnet  mathscinet  zmath; Math. Notes, 87:2 (2010), 244–247  isi  scopus
25. D. K. Potapov, “Estimations of a Differential Operator in Spectral Parameter Problems for Elliptic Equations with Discontinuous Nonlinearities”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010),  268–271  mathnet
2005
26. V. N. Pavlenko, D. K. Potapov, “Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, 4,  49–55  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:4 (2005), 46–52
2002
27. V. N. Pavlenko, D. K. Potapov, “О существовании полуоси положительных собственных значений для уравнений с разрывными операторами”, Vestnik Chelyabinsk. Gos. Univ., 2002, 6,  114–119  mathnet
2001
28. V. N. Pavlenko, D. K. Potapov, “Existence of a ray of eigenvalues for equations with discontinuous operators”, Sibirsk. Mat. Zh., 42:4 (2001),  911–919  mathnet  mathscinet  zmath; Siberian Math. J., 42:4 (2001), 766–773  isi

2017
29. S. M. Voronin, S. F. Dolbeeva, O. N. Dementiev, A. A. Ershov, M. G. Lepchinski, S. V. Matveev, N. B. Medvedeva, D. K. Potapov, E. A. Rozhdestvenskaya, E. A. Sbrodova, I. M. Sokolinskaya, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, “К 70-летию профессора Вячеслава Николаевича Павленко”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017),  383–387  mathnet  elib

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