3 papers
math.AP2018
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…
math.AP2017
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…
math.AP2015
Existence and Multiplicity of a Nonhomogeneous Polyharmonic Equation With Critical Exponential Growth in Even Dimension
Abhishek Sarkar
In this paper we study the existence of at least two positive weak solutions for an inhomogeneous fourth order equation with Navier boundary data involving nonlinearities of critic…