Persons: Bobkov, Vladimir

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Bobkov, Vladimir

Statistics
in MathSciNet:	27 (27)
in zbMATH:	19 (19)
in Web of Science:	28 (28)
in Scopus:	28 (28)

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/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

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2025
1.	T. V. Anoop, V. Bobkov, P. Drabek, “Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions”, Journal of Differential Equations, 437 (2025), 113354 , arXiv: 2309.15558
2.	V. E. Bobkov, S. E. Pastukhova, “A posteriori estimates for problems with monotone operators”, 2025 (to appear) , arXiv: 2504.09931
3.	V. Bobkov, T. Galimov, “Inverse iteration method for higher eigenvalues of the $p$-Laplacian”, Nonlinearity, 38:9 (2025), 095021 , arXiv: 2504.12836
4.	T. V. Anoop, V. Bobkov, M. Ghosh, “Reverse Faber-Krahn inequality for planar doubly connected domains”, 2025 (to appear) , arXiv: 2509.17480
5.	V. Bobkov, A. Gladkov, G. V. Grishina, A. A. Kovalevsky, L. M. Kozhevnikova, A. G. Kusraev, Z. A. Kusraeva, E. Yu. Panov, D. M. Polyakov, “Anatolii Fedorovich Tedeev (on his 70's anniversary)”, Vladikavkaz. Mat. Zh., 27:2 (2025), 148–149

2024
6.	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, 540:2 (2024), 128634 , arXiv: 2302.06363	1 ^[x]
7.	V. Bobkov, M. Tanaka, “Abstract multiplicity results for $(p,q)$-Laplace equations with two parameters”, Rendiconti del Circolo Matematico di Palermo Series 2, 73 (2024), 2767–2794 , arXiv: 2308.16581	1 ^[x]
8.	T. V. Anoop, V. Bobkov, M. Ghosh, “Neumann domains of planar analytic eigenfunctions”, 2024 (to appear) , arXiv: 2410.07811
9.	V. Bobkov, S. Kolonitskii, “Payne nodal set conjecture for the fractional $p$-Laplacian in Steiner symmetric domains”, Kraevye zadachi matematicheskoi fiziki i smezhnye voprosy teorii funktsii. 51, K yubileyu Niny Nikolaevny Uraltsevoi, Zap. nauchn. sem. POMI, 536, POMI, SPb., 2024, 96–125

2023
10.	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	6 ^[x]
11.	V. Bobkov, M. Tanaka, “On the antimaximum principle for the $p$-Laplacian and its sublinear perturbations”, Partial Differential Equations and Applications, 4:21 (2023) , arXiv: 2210.08898	1 ^[x]
12.	V. Bobkov, S. Kolonitskii, “Improved Friedrichs inequality for a subhomogeneous embedding”, Journal of Mathematical Analysis and Applications, 527:1 (2023), 127383 , arXiv: 2210.14111	3 ^[x]

2022
13.	F. Baustian, V. Bobkov, “Basis properties of Fucik eigenfunctions”, Analysis Mathematica, 48:3 (2022), 619–648 , arXiv: 2012.10368	1 ^[x]
14.	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	2 ^[x]
15.	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	2 ^[x]
16.	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	9 ^[x]
17.	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
18.	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

2021
19.	V. Bobkov, E. Parini, “On the Cheeger problem for rotationally invariant domains”, Manuscripta Mathematica, 166 (2021), 503–522 , arXiv: 1907.10474	5 ^[x]

2020
20.	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	1 ^[x]
21.	F. Baustian, V. Bobkov, “On asymptotic behavior of Dirichlet inverse”, International Journal of Number Theory, 16:6 (2020), 1337–1354 , arXiv: 1903.12445	1 ^[x]
22.	V. Bobkov, P. Drabek, Y. Il’yasov, “On full Zakharov equation and its approximations”, Physica D: Nonlinear Phenomena, 401 (2020), 132168 , arXiv: 1801.00803
23.	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	1 ^[x]
24.	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	9 ^[x]
25.	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	4 ^[x]
26.	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

2019
27.	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	13 ^[x]
28.	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	3 ^[x]
29.	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	5 ^[x]
30.	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	4 ^[x]
31.	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	6 ^[x]
32.	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	1 ^[x]

2018
33.	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	13 ^[x]
34.	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	1 ^[x]
35.	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	14 ^[x]
36.	V. Bobkov, E. Parini, “On the higher Cheeger problem”, Journal of the London Mathematical Society, 97:3 (2018), 575–600 , arXiv: 1706.07282	13 ^[x]
37.	V. Bobkov, “On exact Pleijel’s constant for some domains”, Documenta Mathematica, 23 (2018), 799–813 , arXiv: 1802.04357
38.	V. Bobkov, M. Tanaka, “On sign-changing solutions for resonant $(p,q)$-Laplace equations”, Differential Equations & Applications, 20:2 (2018), 197–208

2017
39.	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	4 ^[x]

2016
40.	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	7 ^[x]

2015
41.	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
42.	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	26 ^[x]

2014
43.	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
44.	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	9 ^[x]
45.	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	8 ^[x]

2013
46.	V. E. Bobkov, “On existence of nodal solution to elliptic equations with convex-concave nonlinearities”, Ufa Math. Journal, 5:2 (2013), 18–30 pdf
47.	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

Presentations in Math-Net.Ru

1.	On the inverse inequality of Faber-Kran type for domains with a doubly connected boundary V. Bobkov V. I. Smirnov Seminar on Mathematical Physics December 8, 2025 16:30
2.	On maximum and comparison principles for parabolic problems with the $p$-Laplacian V. Bobkov Nonlinear partial differential equations June 26, 2025 15:30
3.	PAYNE NODAL SET CONJECTURE FOR THE FRACTIONAL P-LAPLACIAN V. Bobkov Seminar on nonlinear problems of partial differential equations and mathematical physics December 24, 2024 18:00
4.	PAYNE NODAL SET CONJECTURE FOR THE FRACTIONAL P-LAPLACIAN V. Bobkov Seminar on nonlinear problems of partial differential equations and mathematical physics December 10, 2024 18:00
5.	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
6.	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
7.	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
8.	Собственные значения и функции p-Лапласа Владимир Бобков Mathematical seminar Faculty of Computer Science HSE December 15, 2023 18:10
9.	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
10.	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
11.	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
12.	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
13.	Об эллиптических уравнениях с субоднородной нелинейностью неопределённого знака V. Bobkov November 8, 2022 18:50
14.	О нетривиальной множественности положительных решений одного класса уравнений с $(p,q)$-Лапласом V. Bobkov August 9, 2021 16:50
15.	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

Organisations

Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa