The aim of this paper is twofold: to prove, for L1-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 L1. © 2008 Springer-Verlag.
|Original language||English (US)|
|Number of pages||20|
|Journal||Monatshefte fur Mathematik|
|State||Published - Aug 1 2008|
Bibliographical noteGenerated from Scopus record by KAUST IRTS on 2023-02-15
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