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Bobkov, Vladimir

Total publications: 42 (42)
in MathSciNet: 27 (27)
in zbMATH: 19 (19)
in Web of Science: 28 (28)
in Scopus: 28 (28)
Cited articles: 28
Citations: 147
Presentations: 11

Number of views:
This page:3511
Abstract pages:378
Full texts:121
References:78
Candidate of physico-mathematical sciences (2015)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: ,
Website: https://vladimir-bobkov.ru
Keywords: elliptic problems, existence of solutions, variational methods
UDC: 517.9
MSC: 35D30, 35J25, 35J20, 35J60

Subject:

Nonlinear PDEs, existence of solutions, their qualitative properties; critical values of parameters. Variational methods of nonlinear analysis.


https://www.mathnet.ru/eng/person83041
https://scholar.google.com/citations?user=lm4kFYMAAAAJ&hl=en
https://zbmath.org/authors/?q=ai:bobkov.vladimir-e
https://mathscinet.ams.org/mathscinet/MRAuthorID/1040393
https://elibrary.ru/author_items.asp?spin=6178-6132
https://orcid.org/0000-0002-4425-0218
https://publons.com/researcher/1205756
https://www.webofscience.com/wos/author/record/B-1117-2016
https://www.scopus.com/authid/detail.url?authorId=56132853600
https://www.researchgate.net/profile/Vladimir_Bobkov2
https://arxiv.org/a/bobkov_v_1

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. V. Bobkov, M. Tanaka, “On positive solutions for $(p, q)$-Laplace equations with two parameters”, Calculus of Variations and Partial Differential Equations, 54:3 (2015), 3277–3301 , arXiv: 1411.5192  crossref  mathscinet  zmath  isi  scopus 22
2. V. Bobkov, M. Tanaka, “Remarks on minimizers for $(p,q)$-Laplace equations with two parameters”, Communications on Pure & Applied Analysis, 17:3 (2018), 1219–1253 , arXiv: 1706.03034  crossref  mathscinet  zmath  isi  scopus 12
3. V. Bobkov, E. Parini, “On the higher Cheeger problem”, Journal of the London Mathematical Society, 97:3 (2018), 575–600 , arXiv: 1706.07282  crossref  mathscinet  zmath  isi  scopus 12
4. V. Bobkov, M. Tanaka, “On sign-changing solutions for $(p,q)$-Laplace equations with two parameters”, Advances in Nonlinear Analysis, 8:1 (2019), 101–129 , arXiv: 1606.06092  crossref  mathscinet  zmath  isi  scopus 11
5. T. V. Anoop, V. Bobkov, S. Sasi, “On the strict monotonicity of the first eigenvalue of the $p$-Laplacian on annuli”, Transactions of the American Mathematical Society, 370 (2018), 7181–7199 , arXiv: 1611.03532  crossref  mathscinet  zmath  isi  scopus 10
6. V. E. Bobkov, P. Takáč, “A Strong Maximum Principle for parabolic equations with the $p$-Laplacian”, Journal of Mathematical Analysis and Applications, 419:1, 1 November 2014 (2014), 218–230 pdf  crossref  mathscinet  zmath  isi  scopus 9
7. V. Bobkov, “Least energy nodal solutions for elliptic equations with indefinite nonlinearity”, Electronic Journal of Qualitative Theory of Differential Equations, 2014, no. 56, 1–15 pdf  crossref  mathscinet  isi  scopus 8
8. V. Bobkov, Y. Il'yasov, “Maximal existence domains of positive solutions for two-parametric systems of elliptic equations”, Complex Variables and Elliptic Equations, 61:5 (2016), 587–607 , arXiv: 1406.5275  crossref  mathscinet  zmath  isi  scopus 7
9. V. Bobkov, M. Tanaka, “Multiplicity of positive solutions for $(p,q)$-Laplace equations with two parameters”, Communications in Contemporary Mathematics, 24:3 (2022), 2150008 , 25 pp., arXiv: 2007.11623  crossref  isi  scopus 6
10. V. Bobkov, M. Tanaka, “Generalized Picone inequalities and their applications to $(p,q)$-Laplace equations”, Open Mathematics, 18:1 (2020), 1030–1044 , arXiv: 2004.02928  crossref  mathscinet  isi  scopus 6
11. V. Bobkov, “Asymptotic relation for zeros of cross-product of Bessel functions and applications”, Journal of Mathematical Analysis and Applications, 472:1 (2019), 1078–1092 , arXiv: 1803.09972  crossref  mathscinet  zmath  isi  scopus 6
12. V. E. Bobkov, P. Takač, “On maximum and comparison principles for parabolic problems with the $p$-Laplacian”, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113:2 (2019), 1141–1158 , arXiv: 1803.09562  crossref  zmath  isi  scopus 5
13. V. Bobkov, M. Tanaka, “On subhomogeneous indefinite $p$-Laplace equations in supercritical spectral interval”, Calculus of Variations and Partial Differential Equations, 62:1 (2023), 22 , 39 pp., arXiv: 2110.11849  crossref 4
14. V. Bobkov, P. Drabek, J. Hernandez, “Existence and multiplicity results for a class of semilinear elliptic equations”, Nonlinear Analysis, 200 (2020), 112017 , 25 pp., arXiv: 2003.08995  crossref  mathscinet  isi  scopus 4
15. V. E. Bobkov, “On existence of nodal solution to elliptic equations with convex-concave nonlinearities”, Ufa Math. Journal, 5:2 (2013), 18–30 pdf  mathnet  crossref  mathscinet  elib
16. V. Bobkov, E. Parini, “On the Cheeger problem for rotationally invariant domains”, Manuscripta Mathematica, 166 (2021), 503–522 , arXiv: 1907.10474  crossref  mathscinet  isi  scopus 3
17. V. Bobkov, S. Kolonitskii, “On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations”, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 149:5 (2019), 1163–1173 , arXiv: 1707.02816  crossref  mathscinet  zmath  isi  scopus 3
18. V. Bobkov, M. Tanaka, “On the Fredholm-type theorems and sign properties of solutions for $(p,q)$-Laplace equations with two parameters”, Annali di Matematica Pura ed Applicata (1923 -), 198:5 (2019), 1651–1673 , arXiv: 1807.07727  crossref  mathscinet  zmath  scopus 3
19. V. Bobkov, P. Drábek, “On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the $p$-Laplacian on a disk”, Journal of Differential Equations, 263:3, 5 August (2017), 1755–1772 , arXiv: 1605.01175  crossref  mathscinet  zmath  adsnasa  isi  scopus 3
20. V. Bobkov, S. Kolonitskii, “Improved Friedrichs inequality for a subhomogeneous embedding”, Journal of Mathematical Analysis and Applications, 527:1 (2023), 127383 , arXiv: 2210.14111  crossref 1
21. F. Baustian, V. Bobkov, “Basis properties of Fucik eigenfunctions”, Analysis Mathematica, 48:3 (2022), 619–648 , arXiv: 2012.10368  crossref  isi  scopus 1
22. T. V. Anoop, V. Bobkov, P. Drabek, “Szegő-Weinberger type inequalities for symmetric domains with holes”, SIAM Journal on Mathematical Analysis, 54:1 (2022), 389–422 , arXiv: 2102.05932  crossref  isi  scopus 1
23. J. Benedikt, V. Bobkov, R. N. Dhara, P. Girg, “Nonradiality of second eigenfunctions of the fractional Laplacian in a ball”, Proceedings of the American Mathematical Society, 150:12 (2022), 5335-5348 , arXiv: 2102.08298  crossref 1
24. V. Bobkov, P. Drabek, Y. Ilyasov, “Estimates on the spectral interval of validity of the anti-maximum principle”, Journal of Differential Equations, 269:4 (2020), 2956–2976 , arXiv: 1807.06804  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
25. F. Baustian, V. Bobkov, “On asymptotic behavior of Dirichlet inverse”, International Journal of Number Theory, 16:6 (2020), 1337–1354 , arXiv: 1903.12445  crossref  mathscinet  isi  scopus 1
26. V. Bobkov, S. Kolonitskii, “On qualitative properties of solutions for elliptic problems with the $p$-Laplacian through domain perturbations”, Communications in Partial Differential Equations, 45:3 (2020), 230–252 , arXiv: 1701.07408  crossref  mathscinet  isi  scopus 1
27. V. Bobkov, P. Drabek, Y. Ilyasov, “On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities”, Applied Mathematics Letters, 95 (2019), 23–28 , arXiv: 1812.08018  crossref  mathscinet  zmath  isi  scopus 1
28. B. Audoux, V. Bobkov, E. Parini, “On multiplicity of eigenvalues and symmetry of eigenfunctions of the $p$-Laplacian”, Topological Methods in Nonlinear Analysis, 51:2 (2018), 565–582 , arXiv: 1704.03194  crossref  mathscinet  zmath  isi  scopus 1
29. J. Benedikt, V. Bobkov, R. N. Dhara, P. Girg, “Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity”, Journal of Mathematical Analysis and Applications, 2024 , arXiv: 2302.06363  crossref
30. V. Bobkov, M. Tanaka, “Abstract multiplicity results for $(p,q)$-Laplace equations with two parameters”, Rendiconti del Circolo Matematico di Palermo Series 2, 2024 , arXiv: 2308.16581  crossref
31. V. Bobkov, S. Kolonitskii, “Payne nodal set conjecture for the fractional $p$-Laplacian in Steiner symmetric domains”, 2024 (to appear) , arXiv: 2405.06936
32. V. Bobkov, M. Tanaka, “On the antimaximum principle for the $p$-Laplacian and its sublinear perturbations”, Partial Differential Equations and Applications, 4 (2023), 21 , arXiv: 2210.08898  crossref
33. T. V. Anoop, V. Bobkov, P. Drabek, “Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions”, 2023 (to appear) , arXiv: 2309.15558
34. F. Baustian, V. Bobkov, “Basisness of Fucik eigenfunctions for the Dirichlet Laplacian”, 2021 UNC Greensboro PDE Conference, Electronic Journal of Differential Equations, Conference 26, 2022, 33–43 , arXiv: 2111.08329  crossref
35. F. Baustian, V. Bobkov, “Basis properties of Fučík eigenfunctions for the Neumann Laplacian”, Journal of Mathematical Analysis and Applications, 516:1 (2022), 126466 , arXiv: 2204.06244  crossref  scopus
36. V. Bobkov, P. Drabek, Y. Il’yasov, “On full Zakharov equation and its approximations”, Physica D: Nonlinear Phenomena, 401 (2020), 132168 , arXiv: 1801.00803  crossref  mathscinet  isi  scopus
37. V. Bobkov, S. Kolonitskii, “Second-order derivative of domain-dependent functionals along Nehari manifold trajectories”, ESAIM: Control, Optimisation and Calculus of Variations, 26 (2020), 48 , 29 pp., arXiv: 1812.05012  crossref  isi  scopus
38. V. Bobkov, “On exact Pleijel’s constant for some domains”, Documenta Mathematica, 23 (2018), 799–813 , arXiv: 1802.04357  crossref  mathscinet  zmath
39. V. Bobkov, M. Tanaka, “On sign-changing solutions for resonant $(p,q)$-Laplace equations”, Differential Equations & Applications, 20:2 (2018), 197–208  crossref  mathscinet  isi
40. J. Benedikt, V. E. Bobkov, P. Girg, L. Kotrla, P. Takáč, “Nonuniqueness of solutions of initial-value problems for parabolic $p$-Laplacian”, Electronic Journal of Differential Equations, 2015, no. 38, 1–7 pdf  mathscinet  isi
41. V. E. Bobkov, “On the existence of a continuous branch of nodal solutions of elliptic equations with convex-concave nonlinearities”, Differential Equations, 50:6 (2014), 765–776  crossref  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
42. V. Bobkov, Y. Il'yasov, “Asymptotic behaviour of branches for ground states of elliptic systems”, Electronic Journal of Differential Equations, 2013, no. 212, 1–21 pdf  mathscinet  zmath

Presentations in Math-Net.Ru
1. Payne nodal set conjecture for the fractional $p$-Laplacian in Steiner symmetric domains
V. Bobkov
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 8, 2024 15:55   
2. Payne nodal set conjecture for the fractional p-Laplacian in Steiner symmetric domains
V. Bobkov
Friends in Partial Differential Equations
May 25, 2024 11:30   
3. ON THE STABILITY OF THE FRIEDRICHS INEQUALITY
V. Bobkov
Seminar on nonlinear problems of partial differential equations and mathematical physics
March 26, 2024 18:00   
4. Собственные значения и функции p-Лапласа
Владимир Бобков
Mathematical seminar Faculty of Computer Science HSE
December 15, 2023 18:10   
5. Szego-Weinberger type inequalities for symmetric domains with holes
V. Bobkov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 8, 2023 15:35   
6. Mini-conference of young scientists devoted to A.I. Nazarov 60 years anniversary
D. M. Stolyarov, Yu. P. Petrova, V. Bobkov, Ustinov Nikita
V. I. Smirnov Seminar on Mathematical Physics
May 8, 2023 15:00
7. Non-radiality of the second eigenfunction of the fractional Laplace in the ball
V. Bobkov
Scientific seminar on the differential and functional differential equations
March 28, 2023 12:00   
8. On elliptic equations with subhomogeneous indefinite nonlinearity
V. Bobkov
Seminar on nonlinear problems of partial differential equations and mathematical physics
February 14, 2023 18:00   
9. Об эллиптических уравнениях с субоднородной нелинейностью неопределённого знака
V. Bobkov

November 8, 2022 18:50
10. О нетривиальной множественности положительных решений одного класса уравнений с $(p,q)$-Лапласом
V. Bobkov

August 9, 2021 16:50
11. Generalized Picone inequalities and their applications to (p,q)-Laplace equations
V. Bobkov
V. I. Smirnov Seminar on Mathematical Physics
May 4, 2020 16:30   

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