22 citations · 110 across the 59 of their papers we have counts for
6 papers · 2 filters
A multiplicity result for the scalar field equation
Kanishka Perera
We prove the existence of distinct pairs of nontrivial solutions of the scalar field equation in under a slow decay condition on the potential near infinity…
-Laplace equations with singular weights
Kanishka Perera, Inbo Sim
We study a class of -Laplacian Dirichlet problems with weights that are possibly singular on the boundary of the domain, and obtain nontrivial solutions using Morse theory. In t…
Multiple solutions for p-Laplacian type problems with asymptotically p-linear terms via a cohomological index theory
A. M. Candela, G. Palmieri, K. Perera
The aim of this paper is investigating the existence of weak solutions of the quasilinear elliptic model problem \[ \left\{\begin{array}{lr} - \divg (A(x,u)\, |\nabla u|^{p-2}\, \n…
An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains
Kanishka Perera, Patrizia Pucci, Csaba Varga
We consider a nonlinear eigenvalue problem under Robin boundary conditions in a domain with (possibly noncompact) smooth boundary. The problem involves a weighted p-Laplacian opera…
On Some Elliptic Interface Problems with Nonhomogeneous Jump Conditions
T. Gnana Bhaskar, Kanishka Perera
We obtain nontrivial solutions of some elliptic interface problems with nonhomogeneous jump conditions that arise in localized chemical reactions and nonlinear neutral inclusions.…
Asymptotic behavior of the eigenvalues of the p(x)-Laplacian
Kanishka Perera, Marco Squassina
We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.