Publications

Here you can find the full list of my publications and preprints ordered by the publication year. See here for other orderings.

Preprints (submitted)

• Bobkov, V.,
  Remarks on the antimaximum principle. (2026),
  arXiv:2608.03460

• Bobkov, V.,
  On Pleijel-type nodal domain bounds for the $p$-Laplacian. (2026),
  arXiv:2606.31305

• Anoop, T. V., Bobkov, V., Ghosh, M., Pochinka, O.
  On the Hersch-Weinberger inequality in higher dimensions. (2026),
  arXiv:2605.25182

• Bobkov, V.,
  Non-Ljusternik–Schnirelman eigenvalues of the pure $p$-Laplacian exist. (2026),
  arXiv:2604.01138

• Bobkov, V., Parini, E.
  Symmetry of fractional Neumann eigenfunctions in the ball. (2026),
  arXiv:2603.10550

• Anoop, T. V., Bobkov, V., Ghosh, M.
  Reverse Faber-Krahn inequality for planar doubly connected domains. (2025),
  arXiv:2509.17480

• Bobkov, V., Quoirin, H. R.
  Multiplicity of dead core solutions in indefinite elliptic problems. (2025),
  arXiv:2507.14016

Publications (accepted or published)

• Anoop, T. V., Bobkov, V., Ghosh, M.
  Neumann domains of planar analytic eigenfunctions.
  Journal of Differential Equations, 479 (2026) 114605.
  arXiv:2410.07811

• Bobkov, V.,
  On the nodal set conjecture for the $p$-Laplacian in circularly symmetric domains.
  Archiv der Mathematik, (2026).
  arXiv:2602.01210

• Bobkov, V., Tanaka, M.
  On Rayleigh quotients connected to $p$-Laplace equations with polynomial nonlinearities.
  Journal of Differential Equations, 474, (2026) 114497.
  arXiv:2511.10199

• Bobkov, V.E., Pastukhova, S.E.
  A posteriori estimates for problems with monotone operators.
  Sbornik: Mathematics, 217(4), (2026) 446-483.
  arXiv:2504.09931

• Bobkov, V., Galimov, T.
  Inverse iteration method for higher eigenvalues of the $p$-Laplacian.
  Nonlinearity, 38(9), (2025) 095021.
  arXiv:2504.12836

• Anoop, T. V., Bobkov, V., Drábek, P.
  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

• Bobkov, V., Kolonitskii, S.
  Payne nodal set conjecture for the fractional $p$-Laplacian in Steiner symmetric domains.
  Zapiski POMI, 536, (2024) 96-125.
  arXiv:2405.06936

• Benedikt, J., Bobkov, V., Dhara R. N., Girg, P.
  Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity.
  Journal of Mathematical Analysis and Applications, 540(2), (2024) 128634.
  arXiv:2302.06363

• Bobkov, V., Tanaka, M.
  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

• Bobkov, V., Kolonitskii, S.
  Improved Friedrichs inequality for a subhomogeneous embedding.
  Journal of Mathematical Analysis and Applications, 527(1), (2023) 127383.
  arXiv:2210.14111

• Bobkov, V., Tanaka, M.
  On the antimaximum principle for the $p$-Laplacian and its sublinear perturbations.
  Partial Differential Equations and Applications, 4, (2023) 21.
  arXiv:2210.08898

• Bobkov, V., Tanaka, M.
  On subhomogeneous indefinite $p$-Laplace equations in supercritical spectral interval.
  Calculus of Variations and Partial Differential Equations, 62(1), (2023) 22.
  arXiv:2110.11849       accepted manuscript

• Baustian, F., Bobkov, V.
  Basis properties of Fučík eigenfunctions for the Neumann Laplacian.
  Journal of Mathematical Analysis and Applications, 516(1), (2022) 126466.
  arXiv:2204.06244

• Baustian, F., Bobkov, V.
  Basisness of Fucik eigenfunctions for the Dirichlet Laplacian.
  Electronic Journal of Differential Equations, 2021 UNC Greensboro PDE Conference, 26, (2022) 33-43.
  arXiv:2111.08329

• Benedikt, J., Bobkov, V., Dhara R. N., Girg, P.
  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

• Baustian, F., Bobkov, V.
  Basis properties of Fucik eigenfunctions.
  Analysis Mathematica, 48(3), (2022) 619-648.
  arXiv:2012.10368

• Anoop, T. V., Bobkov, V., Drábek, P.
  Szegő-Weinberger type inequalities for symmetric domains with holes.
  SIAM Journal on Mathematical Analysis, 54(1), (2022) 389-422.
  arXiv:2102.05932

• Bobkov, V., Tanaka, M.
  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

• Bobkov, V., Parini, E.
  On the Cheeger problem for rotationally invariant domains.
  Manuscripta Mathematica, 166, (2021) 503-522.
  arXiv:1907.10474

• Bobkov, V., Tanaka, M.
  Generalized Picone inequalities and their applications to $(p,q)$-Laplace equations.
  Open Mathematics, 18(1), (2020) 1030-1044.
  arXiv:2004.02928

• Bobkov, V., Drábek, P., Hernández, J.
  Existence and multiplicity results for a class of semilinear elliptic equations.
  Nonlinear Analysis, 200, (2020) 112017, 25 pp.
  arXiv:2003.08995

• Bobkov, V., Drábek, P., Il’yasov, Y.
  Estimates on the spectral interval of validity of the anti-maximum principle.
  Journal of Differential Equations, 269(4), (2020) 2956-2976.
  arXiv:1807.06804

• Baustian, F., Bobkov, V.
  On asymptotic behaviour of Dirichlet inverse.
  International Journal of Number Theory, 16(6), (2020) 1337-1354.
  arXiv:1903.12445

• Bobkov, V., Kolonitskii, S.
  Second-order derivative of domain-dependent functionals along Nehari manifold trajectories.
  ESAIM: Control, Optimisation and Calculus of Variations, 26(48), (2020) 29 pp.
  arXiv:1812.05012

• Bobkov, V., Kolonitskii, S.
  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

• Bobkov, V., Drábek, P., Il’yasov, Y.
  On full Zakharov equation and its approximations.
  Physica D: Nonlinear Phenomena, 401, (2020), 132168.
  arXiv:1801.00803

• Bobkov, V., Drábek, P., Il’yasov, Y.
  On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities.
  Applied Mathematics Letters, 95, (2019) 23-28.
  arXiv:1812.08018

• Bobkov, V., Tanaka, M.
  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

• Bobkov, V.
  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

• Bobkov, V. E., Takáč, P.
  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

• Bobkov, V., Kolonitskii, S.
  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

• Bobkov, V., Tanaka, M.
  On sign-changing solutions for $(p,q)$-Laplace equations with two parameters.
  Advances in Nonlinear Analysis, 8(1), (2019) 101-129.
  arXiv:1606.06092

• Bobkov, V.
  On exact Pleijel’s constant for some domains.
  Documenta Mathematica, 23, (2018) 799-813.
  arXiv:1802.04357

• Bobkov, V., Tanaka, M.
  On sign-changing solutions for resonant $(p,q)$-Laplace equations.
  Differential Equations & Applications, 10(2), (2018) 197-208.

• Bobkov, V., Parini, E.
  On the higher Cheeger problem.
  Journal of the London Mathematical Society, 97(3), (2018) 575-600.
  arXiv:1706.07282

• Bobkov, V., Tanaka, M.
  Remarks on minimizers for $(p,q)$-Laplace equations with two parameters.
  Communications on Pure and Applied Analysis, 17(3), (2018) 1219-1253.
  arXiv:1706.03034

• Audoux, B., Bobkov, V., Parini, E.
  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

• Anoop, T. V., Bobkov, V., Sasi, S.
  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

• Bobkov, V., Drábek, P.
  On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the $p$-Laplacian on a disk.
  Journal of Differential Equations, 263(3), (2017) 1755-1772.
  arXiv:1605.01175

• Bobkov, V., Il’yasov, Y.
  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

• Benedikt, J., Bobkov, V. E., Girg, P., Kotrla, L., Takáč, P.
  Nonuniqueness of solutions of initial-value problems for parabolic $p$-Laplacian.
  Electronic Journal of Differential Equations, (38), (2015) 1-7.

• Bobkov, V., Tanaka, M.
  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

• Bobkov, V. E.
  On the existence of a continuous branch of nodal solutions of elliptic equations with convex-concave nonlinearities.
  Differential Equations, 50(6), (2014) 765-776.
  pdf

• Bobkov, V. E., Takáč, P.
  A Strong Maximum Principle for parabolic equations with the $p$-Laplacian.
  Journal of Mathematical Analysis and Applications, 419(1), (2014) 218-230.
  pdf

• Bobkov, V.
  Least energy nodal solutions for elliptic equations with indefinite nonlinearity.
  Electronic Journal of Qualitative Theory of Differential Equations, (56), (2014) 1-15.
  

• Bobkov, V. E.
  On existence of nodal solution to elliptic equations with convex-concave nonlinearities.
  Ufa Mathematical Journal, 5(2), (2013) 18-30.
  Math-Net

• Bobkov, V., Il’yasov, Y.
  Asymptotic behaviour of branches for ground states of elliptic systems.
  Electronic Journal of Differential Equations, (212), (2013) 1-21.

 

Last modified: 30-Aug-26