Symmetry of ground states of p-Laplace equations via the moving plane method

Damascelli, Lucio ; Pacella, Filomena ; Ramaswamy, Mythily (1999) Symmetry of ground states of p-Laplace equations via the moving plane method Archive for Rational Mechanics and Analysis, 148 (4). pp. 291-308. ISSN 0003-9527

Full text not available from this repository.

Official URL: http://www.springerlink.com/content/1mt90453a1fc2t...

Related URL: http://dx.doi.org/10.1007/s002050050163

Abstract

In this paper we use the moving plane method to get the radial symmetry about a point x0∈RN of the positive ground state solutions of the equation -div(|Du|p-2Du)=f(u) in RN, in the case 1<p<2. We assume f to be locally Lipschitz continuous in (0, +∞) and nonincreasing near zero but we do not require any hypothesis on the critical set of the solution. To apply the moving plane method we first prove a weak comparison theorem for solutions of differential inequalities in unbounded domains.

Item Type:Article
Source:Copyright of this article belongs to Springer.
ID Code:62291
Deposited On:20 Sep 2011 09:31
Last Modified:20 Sep 2011 09:31

Repository Staff Only: item control page