University of West Bohemia in Pilsen

output

20042026

most citedSciPy 1.0--Fundamental Algorithms for Scientific Computing in Python

40.2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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28 papers · 1 filter

math.AP2025★ 1 cited

Homogenization of flow in inflatable periodic structures with nonlinear effects

Eduard Rohan, Vladimír Lukeš

The paper presents a new type of weakly nonlinear two-scale model of inflatable periodic poroelastic structures saturated by Newtonian fluids. The periodic microstructures incorpor…

math.AP2023★ 1 cited

Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions

T. V. Anoop, Vladimir Bobkov, Pavel Drabek

Let $τ_{k} (Ω)$ be the $k$ -th eigenvalue of the Laplace operator in a bounded domain $Ω$ of the form $Ω_{out} ∖ B_{α}$ under the Neumann boundary condition on…

math.AP2023★ 6 cited

Homogenization of peristaltic flows in piezoelectric porous media

Eduard Rohan, Vladimír Lukeš

The paper presents a new type of weakly nonlinear two-scale model of controllable periodic porous piezoelectric structures saturated by Newtonian fluids. The flow is propelled by p…

math.AP2023★ 1 cited

Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity

Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1

We show that the parabolic equation $u_{t} + (- Δ)^{s} u = q (x) ∣ u ∣^{α - 1} u$ posed in a time-space cylinder $(0, T) \times R^{N}$ and coupled with zero initial condition and zero…

math.AP2022★ 2 cited

Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates interacting with flow

Eduard Rohan, Vladimír Lukeš

We consider acoustic waves propagating in an inviscid fluid interacting with a rigid periodically perforated plate in the presence of permanent flows. The paper presents a model of…

math.AP2021★ 6 cited

Nonradiality of second eigenfunctions of the fractional Laplacian in a ball

Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1

Using symmetrization techniques, we show that, for every $N \geq 2$ , any second eigenfunction of the fractional Laplacian in the $N$ -dimensional unit ball with homogeneous Dirichle…

math.AP2020★ 2 cited

Spiraling solutions of nonlinear Schrödinger equations

Oscar Agudelo, Joel Kübler, Tobias Weth

We study a new family of sign-changing solutions to the stationary nonlinear Schrödinger equation $- Δ v + q v = ∣ v ∣^{p - 2} v, in R^{3},$ with $2 < p < \infty$ an…

math.AP2020★ 2 cited

Multiplicity of positive solutions for $(p, q)$ -Laplace equations with two parameters

Vladimir Bobkov, Mieko Tanaka

We study the zero Dirichlet problem for the equation $- Δ_{p} u - Δ_{q} u = α ∣ u ∣^{p - 2} u + β ∣ u ∣^{q - 2} u$ in a bounded domain $Ω \subset R^{N}$ , with $1 < q < p$ . We investigate the relatio…

math.AP2020★ 15 cited

Generalized Picone inequalities and their applications to $(p, q)$ -Laplace equations

Vladimir Bobkov, Mieko Tanaka

We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the $(p, q)$ -Laplace type oper…

math.AP2020★ 5 cited

Existence and multiplicity results for a class of semilinear elliptic equations

Vladimir Bobkov, Pavel Drabek, Jesus Hernandez

We study the existence and multiplicity of nonnegative solutions, as well as the behaviour of corresponding parameter-dependent branches, to the equation $- Δ u = (1 - u) u^{m} - λ u^{n}$ i…

math.AP2018★ 2 cited

On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities

Vladimir Bobkov, Pavel Drábek, Yavdat Ilyasov

We show that the elliptic equation with a non-Lipschitz right-hand side, $- Δ u = λ ∣ u ∣^{β - 1} u - ∣ u ∣^{α - 1} u$ with $λ > 0$ and $0 < α < β < 1$ , considered on a smooth star-shaped domain $Ω$ su…

math.AP2018

Second-order derivative of domain-dependent functionals along Nehari manifold trajectories

Vladimir Bobkov, Sergey Kolonitskii

Assume that a family of domain-dependent functionals $E_{Ω_{t}}$ possesses a corresponding family of least energy critical points $u_{t}$ which can be found as (possibly nonunique) min…

math.AP2018

Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability

Martin Fencl, Milan Kučera

A reaction-diffusion system exhibiting Turing's diffusion driven instability is considered. The equation for an activator is supplemented by unilateral terms of the type $s_{-}(x)u…

math.AP2018★ 4 cited

On the Fredholm-type theorems and sign properties of solutions for $(p, q)$ -Laplace equations with two parameters

Vladimir Bobkov, Mieko Tanaka

We consider the Dirichlet problem for the nonhomogeneous equation $- Δ_{p} u - Δ_{q} u = α ∣ u ∣^{p - 2} u + β ∣ u ∣^{q - 2} u + f (x)$ in a bounded domain, where $p \neq = q$ , and $α, β \in R$ …

math.AP2018★ 2 cited

Estimates on the spectral interval of validity of the anti-maximum principle

Vladimir Bobkov, Pavel Drabek, Yavdat Il'yasov

The anti-maximum principle for the homogeneous Dirichlet problem to $- Δ_{p} u = λ ∣ u ∣^{p - 2} u + f (x)$ with positive $f \in L^{\infty} (Ω)$ states the existence of a critical value $λ_f >…

math.AP2018★ 6 cited

On maximum and comparison principles for parabolic problems with the $p$ -Laplacian

Vladimir Bobkov, Peter Takac

We investigate strong and weak versions of maximum and comparison principles for a class of quasilinear parabolic equations with the $p$ -Laplacian $$ \partial_t u - Δ_p u = λ|u|^{p…

math.AP2018

On full Zakharov equation and its approximations

Vladimir Bobkov, Pavel Drábek, Yavdat Ilyasov

We study the solvability of the Zakharov equation $Δ^{2} u + (κ - ω^{2}) Δ u - κ div (e^{- ∣\nabla u ∣^{2}} \nabla u) = 0$ in a bounded domain under homogeneous Dirichlet…

math.AP2018★ 3 cited

On the Generalized Hardy-Rellich Inequalities

T. V. Anoop, Ujjal Das, Abhishek Sarkar

In this article, we look for the weight functions (say $g$ ) that admits the following generalized Hardy-Rellich type inequality: $ \int_Ω g(x) u^2 dx \leq C \int_Ω |Δu|^2 dx, \fora…

math.AP2017★ 5 cited

On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations

Vladimir Bobkov, Sergei Kolonitskii

In this note we prove the Payne-type conjecture about the behaviour of the nodal set of least energy sign-changing solutions for the equation $- Δ_{p} u = f (u)$ in bounded Steiner sym…

math.AP2017★ 19 cited

On the higher Cheeger problem

Vladimir Bobkov, Enea Parini

We develop the notion of higher Cheeger constants for a measurable set $Ω \subset R^{N}$ . By the $k$ -th Cheeger constant we mean the value \[h_k(Ω) = \inf \max \{h_1(E_1), \d…

math.AP2017

The Fredholm alternative for the $p$ -Laplacian in exterior domains

Pavel Drabek, Ky Ho, Abhishek Sarkar

We investigate the Fredholm alternative for the $p$ -Laplacian in an exterior domain which is the complement of the closed unit ball in $R^{N}$ ( $N \geq 2$ ). By employing tech…

math.AP2017★ 3 cited

On qualitative properties of solutions for elliptic problems with the $p$ -Laplacian through domain perturbations

Vladimir Bobkov, Sergey Kolonitskii

We study the dependence of least nontrivial critical levels of the energy functional corresponding to the zero Dirichlet problem $- Δ_{p} u = f (u)$ in a bounded domain $Ω\subset \math…

math.AP2016★ 17 cited

On the strict monotonicity of the first eigenvalue of the $p$ -Laplacian on annuli

T. V. Anoop, Vladimir Bobkov, Sarath Sasi

Let $B_{1}$ be a ball in $R^{N}$ centred at the origin and $B_{0}$ be a smaller ball compactly contained in $B_{1}$ . For $p \in (1, \infty)$ , using the shape derivative method, we s…

math.AP2016★ 15 cited

On sign-changing solutions for $(p, q)$ -Laplace equations with two parameters

Vladimir Bobkov, Mieko Tanaka

We investigate the existence of nodal (sign-changing) solutions to the Dirichlet problem for two-parametric family of partially homogeneous $(p, q)$ -Laplace equations $-Δ_p u -Δ_q u…

Homogenization of flow in inflatable periodic structures with nonlinear effects

Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions

Homogenization of peristaltic flows in piezoelectric porous media

Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity

Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates interacting with flow

Nonradiality of second eigenfunctions of the fractional Laplacian in a ball

Spiraling solutions of nonlinear Schrödinger equations

Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters

Generalized Picone inequalities and their applications to (p,q)-Laplace equations

Existence and multiplicity results for a class of semilinear elliptic equations

On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities

Second-order derivative of domain-dependent functionals along Nehari manifold trajectories

Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability

On the Fredholm-type theorems and sign properties of solutions for (p,q)-Laplace equations with two parameters

Estimates on the spectral interval of validity of the anti-maximum principle

On maximum and comparison principles for parabolic problems with the p-Laplacian

On full Zakharov equation and its approximations

On the Generalized Hardy-Rellich Inequalities

On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations

On the higher Cheeger problem

The Fredholm alternative for the p-Laplacian in exterior domains

On qualitative properties of solutions for elliptic problems with the p-Laplacian through domain perturbations

On the strict monotonicity of the first eigenvalue of the p-Laplacian on annuli

On sign-changing solutions for (p,q)-Laplace equations with two parameters

Multiplicity of positive solutions for $(p, q)$ -Laplace equations with two parameters

Generalized Picone inequalities and their applications to $(p, q)$ -Laplace equations

On the Fredholm-type theorems and sign properties of solutions for $(p, q)$ -Laplace equations with two parameters

On maximum and comparison principles for parabolic problems with the $p$ -Laplacian

The Fredholm alternative for the $p$ -Laplacian in exterior domains

On qualitative properties of solutions for elliptic problems with the $p$ -Laplacian through domain perturbations

On the strict monotonicity of the first eigenvalue of the $p$ -Laplacian on annuli

On sign-changing solutions for $(p, q)$ -Laplace equations with two parameters