Vladimir E. Bobkov

• Position: Senior Reseacher of Department of Computational Mathematics
• Degree: Candidate of Scienes (CSc.) (2015)
• E-mail: bobkovve@gmail.com,  bobkov@matem.anrb.ru
• Subject of reseach: elliptic problems, parabolic problems, existence of solutions, qualitative properties of solutions

Publications and preprints

		Цитирования (Crossref Cited-By Service + Math-Net.Ru)
1.	В. Е. Бобков, С. Е. Пастухова, “Апостериорные оценки в задачах с монотонными операторами”, Матем. сб. (в печати)
2025
2.	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
3.	V. E. Bobkov, S. E. Pastukhova, “A posteriori estimates for problems with monotone operators”, 2025 (to appear), arXiv: 2504.09931
4.	V. Bobkov, T. Galimov, “Inverse iteration method for higher eigenvalues of the $p$-Laplacian”, Nonlinearity, 38:9 (2025), 095021, arXiv: 2504.12836
5.	T. V. Anoop, V. Bobkov, M. Ghosh, “Reverse Faber-Krahn inequality for planar doubly connected domains”, 2025 (to appear), arXiv: 2509.17480
6.	В. Е. Бобков, А. Л. Гладков, Г. В. Гришина, А. А. Ковалевский, Л. М. Кожевникова, А. Г. Кусраев, З. А. Кусраева, Е. Ю. Панов, Д. М. Поляков, “А. ф. Тедееву — 70 лет”, Владикавк. матем. журн., 27:2 (2025), 148–149
2024
7.	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]
8.	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]
9.	T. V. Anoop, V. Bobkov, M. Ghosh, “Neumann domains of planar analytic eigenfunctions”, 2024 (to appear), arXiv: 2410.07811
10.	V. Bobkov, S. Kolonitskii, “Payne nodal set conjecture for the fractional $p$-Laplacian in Steiner symmetric domains”, Краевые задачи математической физики и смежные вопросы теории функций. 51, К юбилею Нины Николаевны Уральцевой, Зап. научн. сем. ПОМИ, 536, ПОМИ, СПб., 2024, 96–125
2023
11.	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]
12.	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]
13.	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
14.	F. Baustian, V. Bobkov, “Basis properties of Fucik eigenfunctions”, Analysis Mathematica, 48:3 (2022), 619–648, arXiv: 2012.10368	1 [x]
15.	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]
16.	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]
17.	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]
18.	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
19.	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
20.	V. Bobkov, E. Parini, “On the Cheeger problem for rotationally invariant domains”, Manuscripta Mathematica, 166 (2021), 503–522, arXiv: 1907.10474	5 [x]
2020
21.	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]
22.	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]
23.	V. Bobkov, P. Drabek, Y. Il’yasov, “On full Zakharov equation and its approximations”, Physica D: Nonlinear Phenomena, 401 (2020), 132168, arXiv: 1801.00803
24.	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]
25.	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]
26.	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]
27.	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
28.	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]
29.	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]
30.	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]
31.	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]
32.	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]
33.	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
34.	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]
35.	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]
36.	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]
37.	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]
38.	V. Bobkov, “On exact Pleijel’s constant for some domains”, Documenta Mathematica, 23 (2018), 799–813, arXiv: 1802.04357
39.	V. Bobkov, M. Tanaka, “On sign-changing solutions for resonant $(p,q)$-Laplace equations”, Differential Equations & Applications, 20:2 (2018), 197–208
2017
40.	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
41.	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
42.	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
43.	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
44.	В. Е. Бобков, “О существовании непрерывной ветви знакопеременных решений эллиптических уравнений с выпукло-вогнутыми нелинейностями”, Дифференциальные уравнения, 50:6 (2014), 768–779      ; 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
45.	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]
46.	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
47.	В. Е. Бобков, “О существовании знакопеременного решения эллиптических уравнений с выпукло-вогнутыми нелинейностями”, Уфимск. матем. журн., 5:2 (2013), 18–30      ; V. E. Bobkov, “On existence of nodal solution to elliptic equations with convex-concave nonlinearities”, Ufa Math. Journal, 5:2 (2013), 18–30 pdf	4 [x]
48.	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

Conferences

• 30th Seminar in Differential Equations, (2016, Ostrov, Czech Republic). 
• 137 Kagurazaka Seminar on Analysis, (2015, Tokyo, Japan). 
• XXVI Crimean Autumn Mathematical School-Symposium On Spectral And Evolutionary Problems (KROMSH 2015), (2015, Crimea, p. Batiliman). 
• The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2014, Madrid, Spain). 
• International school "Fundamentional Mathematics and Applications in Natural Sciences"» (2013, Ufa, Russia). 
• BMS Intensive Course on Evolution Equations and their Applications (2013, Berlin, Germany).
• IV International Conference on differential equations and applications dedicated to Ya. Lopatinsky (2012, Donetsk, Ukraine).
• International school "Fundamentional Mathematics and Applications in Natural Sciences" (2012, Ufa, Russia). 

Teaching

• 2011-2013 гг. Ассистент кафедры математики УГАТУ.

Grants

• RFBR 13-01-00294, "Development of variational methods for investigating special classes of solutions of nonlinear boundary value problems", 2014-2015, participant
• RFBR 14-01-31054, "Stability of resonance phenomena in nonlinear models", 2014-2015, participant