On Robin boundary value problem with indefinite weight: using the fibrering method

DOI10.1134/S1995080211040111zbMath1258.35106MaRDI QIDQ694433

Somayeh Khademloo, Ghasem Alizadeh Afrouzi

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Robin boundary conditionindefinite weight functionfibrering method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Regularity for a more general class of quasilinear equations
• A selection-migration model in population genetics
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• The existence of positive solutions for a class of indefinite weight semilinear elliptic boundary value problems
• On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions
• On harnack type inequalities and their application to quasilinear elliptic equations

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