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Penkin, Oleg Mikhailovich

Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 30
Talks: 1

Number of views:
This page:3157
Abstract pages:15481
Full texts:7042
Talk pages:602
Associate professor
Doctor of physico-mathematical sciences
Birth date: 29.09.1957
E-mail:

https://www.mathnet.ru/eng/person18392
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/209629
https://orcid.org/0000-0001-9547-7597

Publications in Math-Net.Ru Citations
2025
1. N. S. Dairbekov, O. M. Penkin, D. Savasteev, “Perron's method in the Dirichlet problem for the soft Laplacian on a stratified set”, Dokl. RAN. Math. Inf. Proc. Upr., 521 (2025),  23–27  mathnet  elib; Dokl. Math., 111:1 (2025), 16–19
2. S. N. Oshchepkova, O. M. Penkin, A. S. Spivak, “Mean value theorem for the stratified laplacian”, Math. Notes, 118:5 (2025), 1133–1138  mathnet  isi  scopus
3. S. N. Oshchepkova, O. M. Penkin, “The obstacle problem on the stratified set”, Applied Mathematics & Physics, 57:2 (2025),  111–116  mathnet
2024
4. N. S. Dairbekov, O. M. Penkin, D. Savasteev, “On removable singularities of harmonic functions on a stratified set”, Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  5–9  mathnet  elib; Dokl. Math., 110:1 (2024), 297–300 2
5. S. N. Oshchepkova, O. M. Penkin, S. L. Tsarev, “Rayleigh principle for stratified laplacian”, Applied Mathematics & Physics, 56:3 (2024),  175–180  mathnet
2023
6. N. S. Dairbekov, O. M. Penkin, D. Savasteev, “Harnack's inequality for harmonic functions on stratified sets”, Sibirsk. Mat. Zh., 64:5 (2023),  971–981  mathnet; Siberian Math. J., 64:5 (2023), 1137–1144 5
2018
7. N. S. Dairbekov, O. M. Penkin, L. O. Sarybekova, “An analog of the Sobolev inequality on a stratified set”, Algebra i Analiz, 30:5 (2018),  149–158  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:5 (2019), 869–875  isi  scopus 4
8. N. S. Dairbekov, O. M. Penkin, L. O. Sarybekova, “The Poincaré inequality and $p$-connectedness of a stratified set”, Sibirsk. Mat. Zh., 59:6 (2018),  1291–1302  mathnet  elib; Siberian Math. J., 59:6 (2018), 1024–1033  isi  elib  scopus 4
2016
9. A. T. Diab, B. K. Kaldybekova, O. M. Penkin, “On the Multiplicity of Eigenvalues of the Sturm–Liouville Problem on Graphs”, Mat. Zametki, 99:4 (2016),  489–501  mathnet  mathscinet  elib; Math. Notes, 99:4 (2016), 492–502  isi  scopus 11
2014
10. A. T. Diab, P. A. Kuleshov, O. M. Penkin, “Estimate of the First Eigenvalue of the Laplacian on a Graph”, Mat. Zametki, 96:6 (2014),  885–895  mathnet  mathscinet  zmath  elib; Math. Notes, 96:6 (2014), 948–956  isi  elib  scopus 7
11. S. N. Oshchepkova, O. M. Penkin, D. Savasteev, “The Normal Derivative Lemma for the Laplacian on a Polyhedral Set”, Mat. Zametki, 96:1 (2014),  116–125  mathnet  mathscinet  zmath  elib; Math. Notes, 96:1 (2014), 122–129  isi  scopus 1
2012
12. S. N. Oshchepkova, O. M. Penkin, D. Savasteev, “Strong Maximum Principle for an Elliptic Operator on a Stratified Set”, Mat. Zametki, 92:2 (2012),  276–290  mathnet  mathscinet  zmath  elib; Math. Notes, 92:2 (2012), 249–259  isi  elib  scopus 4
2007
13. S. N. Oshchepkova, O. M. Penkin, “The Mean-Value Theorem for Elliptic Operators on Stratified Sets”, Mat. Zametki, 81:3 (2007),  417–426  mathnet  mathscinet  zmath  elib; Math. Notes, 81:3 (2007), 365–372  isi  scopus 10
2004
14. V. V. Kulyaba, O. M. Penkin, “Strong Stratified Sets and the Friedrichs Inequality”, Differ. Uravn., 40:1 (2004),  69–76  mathnet  mathscinet; Differ. Equ., 40:1 (2004), 75–82 1
2003
15. E. M. Bogatov, O. M. Penkin, “The Fourier method in the Cauchy problem for a fourth-order equation on stratified sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 8,  67–71  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 47:8 (2003), 65–69
16. V. V. Kulyaba, O. M. Penkin, “The Maximum Principle for Parabolic Inequalities on Stratified Sets”, Mat. Zametki, 73:2 (2003),  244–257  mathnet  mathscinet  zmath; Math. Notes, 73:2 (2003), 228–239  isi
2000
17. A. A. Gavrilov, O. M. Penkin, “An analog of the lemma on the normal derivative for an elliptic equation on a stratified set”, Differ. Uravn., 36:2 (2000),  226–232  mathnet  mathscinet; Differ. Equ., 36:2 (2000), 255–261 4
18. A. W. Komarov, O. M. Penkin, Yu. V. Pokornyi, “On the spectrum of a uniform network of strings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 4,  23–27  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:4 (2000), 21–25 5
19. O. M. Penkin, E. M. Bogatov, “Weak Solvability of the Dirichlet Problem on Stratified Sets”, Mat. Zametki, 68:6 (2000),  874–886  mathnet  mathscinet  zmath  elib; Math. Notes, 68:6 (2000), 740–750  isi 7
1998
20. O. M. Penkin, “On the maximum principle for an elliptic equation on stratified sets”, Differ. Uravn., 34:10 (1998),  1433–1434  mathnet  mathscinet; Differ. Equ., 34:10 (1998), 1437–1439 2
21. O. M. Penkin, E. M. Bogatov, Yu. M. Kashkarov, “On the solvability of elliptic boundary value problems on stratified sets”, Differ. Uravn., 34:9 (1998),  1289–1290  mathnet  mathscinet; Differ. Equ., 34:9 (1998), 1291–1293 1
22. O. M. Penkin, Yu. V. Pokorny, “On incompatible inequalities for elliptic equations on stratified sets”, Differ. Uravn., 34:8 (1998),  1107–1113  mathnet  mathscinet; Differ. Equ., 34:8 (1998), 1111–1117 6
23. Yu. V. Pokorny, O. M. Penkin, V. L. Pryadiev, “A nonlinear boundary value problem on a graph”, Differ. Uravn., 34:5 (1998),  629–637  mathnet  mathscinet; Differ. Equ., 34:5 (1998), 631–638 1
1997
24. O. M. Penkin, “On the maximum principle for an elliptic equation on a two-dimensional cellular complex”, Dokl. Akad. Nauk, 352:4 (1997),  462–465  mathnet  mathscinet  zmath 4
25. O. M. Penkin, “On the weak maximum principle for an elliptic equation on a two-dimensional cellular complex”, Differ. Uravn., 33:10 (1997),  1404–1409  mathnet  mathscinet; Differ. Equ., 33:10 (1997), 1410–1414 1
1996
26. O. M. Penkin, Yu. V. Pokornyi, “On some qualitative properties of equations on a one-dimensional cell complex”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 11,  57–64  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:11 (1996), 54–61 2
27. O. M. Penkin, Yu. V. Pokornyi, “On some qualitative properties of equations on a one-dimensional $CW$-complex”, Mat. Zametki, 59:5 (1996),  777–780  mathnet  mathscinet  zmath; Math. Notes, 59:5 (1996), 562–565  isi 21
1989
28. Yu. V. Pokorny, O. M. Penkin, “Sturm theorems for equations on graphs”, Dokl. Akad. Nauk SSSR, 309:6 (1989),  1306–1308  mathnet  mathscinet  zmath; Dokl. Math., 40:3 (1990), 640–642 9
29. Yu. V. Pokornyi, O. M. Penkin, “Comparison theorems for equations on graphs”, Differ. Uravn., 25:7 (1989),  1141–1150  mathnet  mathscinet; Differ. Equ., 25:7 (1989), 802–809 13
1988
30. O. M. Penkin, Yu. V. Pokornyi, “On a boundary value problem on a graph”, Differ. Uravn., 24:4 (1988),  701–703  mathnet  mathscinet  zmath 6

Presentations in Math-Net.Ru
1. Perron's Method for Dirichlet Problem with a soft laplacian
O. M. Penkin
V. I. Smirnov Seminar on Mathematical Physics
December 4, 2023 15:00   

Organisations
 
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