Positive solutions for the \(p\)-Laplacian with Robin boundary conditions on irregular domains

DOI10.1016/j.aml.2010.11.022zbMath1205.35133OpenAlexW2028146285MaRDI QIDQ617039

Sumit K. Garg

Publication date: 20 January 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.11.022

zbMATH Keywords

Robin boundary conditions\(p\)-Laplacianirregular domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

A note on the implicit function theorem for quasi-linear eigenvalue problems ⋮ Two Nontrivial Solutions for Robin Problems Driven by a p–Laplacian Operator

Cites Work

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• On a maximum principle for weak solutions of some quasi-linear elliptic equations
• Regularity for a more general class of quasilinear equations
• The Laplacian with Robin boundary conditions on arbitrary domains
• A strong maximum principle for some quasilinear elliptic equations
• On a capacity for modular spaces
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• A priori estimates for a class of quasi-linear elliptic equations
• Nonlinear elliptic boundary-value problems in unbounded domains
• Robin boundary value problems on arbitrary domains
• On harnack type inequalities and their application to quasilinear elliptic equations

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