Quasi-linear boundary value problems with generalized nonlocal boundary conditions

DOI10.1016/j.na.2011.03.064zbMath1220.35075OpenAlexW2092505998MaRDI QIDQ550208

Alejandro Vélez-Santiago

Publication date: 8 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.064

zbMATH Keywords

a priori estimatesweak solutionsNeumann boundary conditionsHölder continuityRobin boundary conditionsnonlocal boundary conditionsDirichlet-to-Neumann mapMaxwell's equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items

The \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets, Regularity and well-posedness of some quasi-linear elliptic and parabolic problems with nonlinear general Wentzell boundary conditions on nonsmooth domains, Ambrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions, Generalized nonlocal Robin Laplacian on arbitrary domains, Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains

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