The Lewy-Stampacchia inequality for bilateral problems

zbMath1121.35066MaRDI QIDQ996950

François Murat, Abdelhafid Mokrane

Publication date: 19 July 2007

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

UniquenessVariational inequalitiesLewy-Stampacchia's inequalityObstacle problemBilateral problemLeray-Lions operatorsPenalization method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20)

Related Items (8)

Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators ⋮ Uniqueness results for pseudomonotone problems with \(p>2\) ⋮ On Lewy-Stampacchia inequalities for a pseudomonotone elliptic bilateral problem in variable exponent Sobolev spaces ⋮ Lewy-Stampacchia's inequality for a Leray-Lions operator with natural growth in the gradient ⋮ The Lewy--Stampacchia inequality for the obstacle problem with quadratic growth in the gradient ⋮ Quasi-regular Dirichlet forms and the obstacle problem for elliptic equations with measure data ⋮ Uniqueness results for nonlinear elliptic equations with a lower order term ⋮ The abstract Lewy-Stampacchia inequality and applications

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