Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/11321
Title: The obstacle problem for nonlinear elliptic equations with variable growth and L1-data
Authors: Rodrigues, José Francisco 
Sanchón, Manel 
Urbano, José Miguel 
Keywords: Obstacle problem; Variable growth; Entropy solutions; L1-data; Stability; Lewy–Stampacchia inequalities
Issue Date: 2006
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 06-53 (2006)
Abstract: 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
URI: http://hdl.handle.net/10316/11321
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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