The obstacle problem for nonlinear elliptic equations with variable growth and L^1-data
Analysis of PDEs
2008-02-05 v1
Abstract
The aim of this paper is twofold: to prove, for L^1-data, the existence and uniqueness of an entropy solution to the obstacle problem for nonlinear elliptic equations with variable growth, and to show some convergence and stability properties of the corresponding coincidence set. The latter follow from extending the Lewy--Stampacchia inequalities to the general framework of L^1.
Keywords
Cite
@article{arxiv.0802.0378,
title = {The obstacle problem for nonlinear elliptic equations with variable growth and L^1-data},
author = {José Francisco Rodrigues and Manel Sanchón and José Miguel Urbano},
journal= {arXiv preprint arXiv:0802.0378},
year = {2008}
}