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)
2024
1.	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
2.	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
3.	V. Bobkov, S. Kolonitskii, “Payne nodal set conjecture for the fractional $p$-Laplacian in Steiner symmetric domains”, 2024 (to appear) , arXiv: 2405.06936
2023
4.	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	4 [x]
5.	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
6.	V. Bobkov, S. Kolonitskii, “Improved Friedrichs inequality for a subhomogeneous embedding”, Journal of Mathematical Analysis and Applications, 527:1 (2023), 127383 , arXiv: 2210.14111	1 [x]
7.	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
2022
8.	F. Baustian, V. Bobkov, “Basis properties of Fucik eigenfunctions”, Analysis Mathematica, 48:3 (2022), 619–648 , arXiv: 2012.10368	1 [x]
9.	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	1 [x]
10.	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	1 [x]
11.	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	6 [x]
12.	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
13.	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
14.	V. Bobkov, E. Parini, “On the Cheeger problem for rotationally invariant domains”, Manuscripta Mathematica, 166 (2021), 503–522 , arXiv: 1907.10474	3 [x]
2020
15.	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]
16.	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]
17.	V. Bobkov, P. Drabek, Y. Il’yasov, “On full Zakharov equation and its approximations”, Physica D: Nonlinear Phenomena, 401 (2020), 132168 , arXiv: 1801.00803
18.	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]
19.	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	6 [x]
20.	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]
21.	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
22.	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	11 [x]
23.	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]
24.	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]
25.	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	3 [x]
26.	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]
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	1 [x]
2018
28.	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	10 [x]
29.	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]
30.	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	12 [x]
31.	V. Bobkov, E. Parini, “On the higher Cheeger problem”, Journal of the London Mathematical Society, 97:3 (2018), 575–600 , arXiv: 1706.07282	12 [x]
32.	V. Bobkov, “On exact Pleijel’s constant for some domains”, Documenta Mathematica, 23 (2018), 799–813 , arXiv: 1802.04357
33.	V. Bobkov, M. Tanaka, “On sign-changing solutions for resonant $(p,q)$-Laplace equations”, Differential Equations & Applications, 20:2 (2018), 197–208
2017
34.	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	3 [x]
2016
35.	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
36.	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
37.	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	22 [x]
2014
38.	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
39.	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]
40.	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
41.	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]
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

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