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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166986In $\R^m\times\R^{n-m}$, endowed with coordinates $X=(x,y)$, we consider the PDE $$ -{\rm div} \big(α(\x) |\nabla u(\X)|^{p(x)-2}\nabla u(\X)\big)=f(x,u(\X)).$$ We prove a geometric inequality and a symmetry result.Analysis of PDEsFibered nonlinearities for $p(x)$-Laplace equationstext