Lewy-Stampacchia's inequality for a Leray-Lions operator with natural growth in the gradient - Laboratoire Jacques-Louis Lions Accéder directement au contenu
Article Dans Une Revue Bollettino dell'Unione Matematica Italiana Année : 2014

Lewy-Stampacchia's inequality for a Leray-Lions operator with natural growth in the gradient

Résumé

We prove that at least one solution of the obstacle problem with a Leray–Lions operator and a perturbation with natural growth with respect to the gradient satisfies Lewy-Stampacchia's inequality. The proof is based on the natural penalization of the obstacle problem.
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Dates et versions

hal-01502643 , version 1 (05-04-2017)

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Citer

Abdelhafid Mokrane, François Murat. Lewy-Stampacchia's inequality for a Leray-Lions operator with natural growth in the gradient. Bollettino dell'Unione Matematica Italiana, 2014, 7, pp.55 - 85. ⟨10.1007/s40574-014-0004-y⟩. ⟨hal-01502643⟩
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