The obstacle problem for nonlinear elliptic equations with variable growth and L1-data

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 fr...

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Bibliographic Details
Main Author: Rodrigues, José Francisco (author)
Other Authors: Sanchón, Manel (author), Urbano, José Miguel (author)
Format: other
Language:eng
Published: 2006
Subjects:
Obstacle problem
Variable growth
Entropy solutions
L1-data
Stability
Lewy–Stampacchia inequalities
Online Access:http://hdl.handle.net/10316/11321
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11321
Description
Summary: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

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