A remark on the Leray-Lions condition.

DOI10.1016/S0362-546X(01)00140-7zbMath1181.35048WikidataQ127229883 ScholiaQ127229883MaRDI QIDQ1599961

Matti Tienari, Vesa Mustonen

Publication date: 6 June 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceDifferential operatorMonotonicityBoundary value problemLeray-Lions conditionPseudomonotony condition

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Second-order elliptic equations (35J15)

Related Items (3)

A new topological degree theory for perturbations of demicontinuous operators and applications to nonlinear equations with nonmonotone nonlinearities ⋮ Optimal control of systems governed by mixed equilibrium problems under monotonicity-type conditions with applications ⋮ Controlling monotonicity of nonlinear operators

Cites Work

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• On pseudo-monotone operators and nonlinear noncoercive variational problems on unbounded domains
• On Galerkin's method in the existence theory of quasilinear elliptic equations
• Pseudo-monotonicity and the Leray-Lions condition
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Fixed point theory and nonlinear problems
• A characterization of pseudo-monotone differential operators in divergence form.^†
• On the topological degree for mappings of monotone type
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

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