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

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

2008-08-13

arxiv.org/abs/0808.1835v1

Mathematics

Analysis of PDEs

Scientific paper

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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