Here you can find the full list of my publications and preprints. Publications are ordered by the acceptance date. Other orderings can be found here.
Bobkov, V.,
Parini, E.
On the Cheeger problem for rotationally invariant domains.
(2019),
arXiv:1907.10474
Bobkov, V.,
Drábek, P.,
Il’yasov, Y.
Estimates on spectral interval of validity of anti-maximum principle.
(2018),
arXiv:1807.06804
Baustian, F.,
Bobkov, V.
On asymptotic behaviour of Dirichlet inverse.
International Journal of Number Theory, (2020), ahead of print.
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, (2019), ahead of print.
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, (2019), ahead of print.
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.
On exact Pleijel’s constant for some domains.
Documenta Mathematica, 23, (2018) 799-813.
arXiv:1802.04357
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.,
Tanaka, M.
On sign-changing solutions for resonant $(p,q)$-Laplace equations.
Differential Equations & Applications, 20(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
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
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
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
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.,
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.,
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.