Symmetry results for the $p(x)$-Laplacian equation
Analysis of PDEs
2012-06-08 v1
Abstract
We consider the Dirichlet problem for the nonlinear -Laplacian equation. For axially symmetric domains we prove that, under suitable assumptions, there exist Mountain-pass solutions which exhibit partial symmetry. Furthermore, we show that Semi-stable or non-degenerate smooth solutions need to be radially symmetric in the ball.
Keywords
Cite
@article{arxiv.1206.1349,
title = {Symmetry results for the $p(x)$-Laplacian equation},
author = {Luigi Montoro and Berardino Sciunzi and Marco Squassina},
journal= {arXiv preprint arXiv:1206.1349},
year = {2012}
}
Comments
13 pages