$H^2$ regularity for the $p(x)-$Laplacian in two-dimensional convex domains

Details $H^2$ regularity for the $p(x)-$Laplacian in two-dimensional convex domains $H^2$ regularity for the $p(x)-$Laplacian in two-dimensional convex domains

2011-07-15

arxiv.org/abs/1107.3136v2

Mathematics

Analysis of PDEs

18 pages. Keywords: Variable exponent spaces. Elliptic Equations. $H^2$ regularity

Scientific paper

In this paper we study the $H^2$ global regularity for solutions of the
$p(x)-$Laplacian in two dimensional convex domains with Dirichlet boundary
conditions. Here $p:\Omega \to [p_1,\infty)$ with $p\in Lip(\bar{\Omega})$ and
$p_1>1$.

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