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.

collaborating institutions

Showing 2018 · math.APShow all

8 papers · 2 filters

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…

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 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