# Fibered nonlinearities for $p(x)$-Laplace equations

created by chermisi on 17 Sep 2008
modified on 15 Apr 2010

[BibTeX]

Published Paper

Inserted: 17 sep 2008
Last Updated: 15 apr 2010

Journal: Advances in Calculus of Variations
Year: 2009

Abstract:

In $\R^m\times\R^{n-m}$, endowed with coordinates $X=(x,y)$, we consider the PDE $$-{\rm div}\, \big( \alpha(\x) \nabla u(\X) {p(x)-2}\nabla u(\X)\big)=f(x,u(\X)).$$ We prove a geometric inequality and a symmetry result.