4 citations · 4 across the 3 of their papers we have counts for
5 papers
An existence result for anisotropic quasilinear problems
Oscar Agudelo, Pavel Drábek
We study existence of solutions for a boundary degenerate (or singular) quasilinear equation in a smooth bounded domain under Dirichlet boundary conditions. We consider a weighted…
On the eigenvalue problem involving the weighted -Laplacian in radially symmetric domains
Pavel Drábek, Ky Ho, Abhishek Sarkar
We investigate the following eigenvalue problem \begin{align*} \begin{cases} -\operatorname{div}\left( L(x) |\nabla u| ^{p-2}\nabla u\right)=λK(x)|u|^{p-2}u \quad \text{in } A_{R_1…
On full Zakharov equation and its approximations
Vladimir Bobkov, Pavel Drábek, Yavdat Ilyasov
We study the solvability of the Zakharov equation in a bounded domain under homogeneous Dirichlet…
Caccioppoli--type estimates and Hardy--type inequalities derived from degenerated --harmonic problems
Pavel Drábek, Agnieszka Kałamajska, Iwona Skrzypczak
We obtain Caccioppoli--type estimates for nontrivial and nonnegative solutions to the anticoercive partial differential inequalities of elliptic type involving degenerated --Lap…
Convergence to traveling waves in the Fisher-Kolmogorov equation with a non-Lipschitzian reaction term
Pavel Drábek, Peter Takáč
We consider the semi linear Fisher-Kolmogorov-Petrovski-Piscounov equation for the advance of an advantageous gene in biology. Its non-smooth reaction function allows for th…