8 papers
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 i…
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, with and , considered on a smooth star-shaped domain su…
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 with positive states the existence of a critical value $λ_f >…
Travelling waves in the Fisher-KPP equation with nonlinear diffusion and a non-Lipschitzian reaction term
Pavel Drabek, Peter Takac
We consider a one-dimensional reaction-diffusion equation of Fisher-Kolmogoroff-Petrovsky-Piscounoff type. We investigate the effect of the interaction between the nonlinear diffus…
The Fredholm alternative for the -Laplacian in exterior domains
Pavel Drabek, Ky Ho, Abhishek Sarkar
We investigate the Fredholm alternative for the -Laplacian in an exterior domain which is the complement of the closed unit ball in (). By employing tech…
On the structure of the second eigenfunctions of the p-Laplacian on a ball
T. V. Anoop, P. Drabek, Sarath Sasi
In this paper, we prove that the second eigenfunctions of the -Laplacian, , are not radial on the unit ball in for any Our proof relies on the var…