Eigenproblem for \(p\)-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions

DOI10.1007/s10114-015-3662-5zbMath1333.35142OpenAlexW1965095548MaRDI QIDQ2343455

Diyer Okacha, Berrajaa Mohammed, Chakrone Omar, Diyer Fatiha

Publication date: 5 May 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-3662-5

zbMATH Keywords

eigenproblem\(p\)-Laplacian operatorvariational methodnon-resonance problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

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Cites Work

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• Eigenvalue problem for \(p\)-Laplacian with mixed boundary conditions
• Isolation and simplicity for the first eigenvalue of the \(p\)-Laplacian with a nonlinear boundary condition
• A strong maximum principle for some quasilinear elliptic equations
• Steklov-Neumann eigenproblems and nonlinear elliptic equations with nonlinear boundary conditions
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Generalized eigenproblem and nonlinear elliptic equations with nonlinear boundary conditions
• On a critical point theorem and an application to a nonresonance problem between two eigenvalues of the \(p\)-Laplacian

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