An inhomogeneous singular perturbation problem for the $p(x)-$Laplacian

Claudia Lederman, Noemi Wolanski

In this paper we study the following singular perturbation problem for the $p_{\epsilon }(x)$-Laplacian: \[ Δ_{p_\varepsilon(x)}u^\varepsilon:=\mbox{div}(|\nabla u^\varepsilon(x)|^…