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arXiv · 1107.3136

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

Leandro M. Del Pezzo·Sandra Martinez
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Abstract

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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Leandro M. Del Pezzo, Sandra Martinez. 2011-07-15. $H^2$ regularity for the $p(x)-$Laplacian in two-dimensional convex domains. https://doi.org/10.1016/j.jmaa.2013.09.016

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