Existence, uniqueness and limit behaviour of solutions to a nonlinear boundary-value problem with equivalued surface

DOI10.1016/S0362-546X(97)00692-5zbMath0929.35057WikidataQ126439804 ScholiaQ126439804MaRDI QIDQ4259697

Zhang, X., Feng-Quan Li

Publication date: 2 February 2000

Published in: Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesslimit behaviourLeray-Schauder's fixed point theoremnonlinear boundary-value problemequivalued surfacepseudomonotone operator theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (6)

Limit behaviour of optimal control problems governed by elliptic boundary value problems with equivalued surface ⋮ Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction ⋮ Nonlinear elliptic boundary value problem with equivalued surface in a domain with thin layer ⋮ Solvability of nonlinear elliptic boundary value problem with equivalued surface. ⋮ Unnamed Item ⋮ Limit behaviour of solutions to equivalued surface boundary value problem forp-Laplacian equations

Cites Work

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• A class of non-local boundary value problems for partial differential equations and its applications in numerical analysis
• On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type
• Comportement limite des solutions de certains problèmes mixtes pour les équations paraboliques
• Linear and quasilinear elliptic equations

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