The obstacle problem for nonlinear elliptic equations with variable growth and L^1-data

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dc.creatorRodrigues, José Francisco
dc.creatorSanchón, Manel
dc.creatorUrbano, José Miguel
dc.date2008-02-04
dc.date.accessioned2026-07-07T09:18:33Z
dc.date.available2026-07-07T09:18:33Z
dc.descriptionThe 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.
dc.identifierhttps://arxiv.org/abs/0802.0378
dc.identifierhttp://arxiv.org/abs/0802.0378
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154067
dc.subjectAnalysis of PDEs
dc.subject35J85; 35J70; 35B30; 35R35
dc.titleThe obstacle problem for nonlinear elliptic equations with variable growth and L^1-data
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