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.

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