On Coron's problem for the p-Laplacian
Analysis of PDEs
2014-02-14 v1
Abstract
We prove that the critical problem for the -Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole. This extends Coron's problem to a class of quasilinear problems.
Cite
@article{arxiv.1402.3147,
title = {On Coron's problem for the p-Laplacian},
author = {Carlo Mercuri and Berardino Sciunzi and Marco Squassina},
journal= {arXiv preprint arXiv:1402.3147},
year = {2014}
}
Comments
6 pages