$p$-Laplace equations with singular weights
Analysis of PDEs
2013-10-07 v1
Abstract
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 the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups.
Cite
@article{arxiv.1310.1317,
title = {$p$-Laplace equations with singular weights},
author = {Kanishka Perera and Inbo Sim},
journal= {arXiv preprint arXiv:1310.1317},
year = {2013}
}