An asymmetric Neumann problem with weights

DOI10.1016/j.anihpc.2006.07.006zbMath1138.35074OpenAlexW2110393798MaRDI QIDQ2480279

Juan Campos, Mabel Cuesta, Jean Pierre Gossez, Margarita Arias

Publication date: 31 March 2008

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78788

zbMATH Keywords

weightsasymmetry\(p\)-LaplacianFučik spectrumNeumann problemCerami (PS) condition

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)

Related Items (17)

A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential ⋮ The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions ⋮ A weighted eigencurve for Steklov problems with a potential ⋮ Basis properties of Fučík eigenfunctions for the Neumann Laplacian ⋮ Precise homogenization rates for the Fučík spectrum ⋮ Existence of the generalized Fučík spectrum for nonhomogeneous elliptic operators ⋮ Existence results for quasilinear elliptic equations with indefinite weight ⋮ Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditions ⋮ On the first curve in the Fučik spectrum with weights for a mixed \(p\)-Laplacian ⋮ Existence of solutions for quasilinear elliptic equations with jumping nonlinearities under the Neumann boundary condition ⋮ Unnamed Item ⋮ Spectrum of one-dimensional \(p\)-Laplacian with an indefinite integrable weight ⋮ Unnamed Item ⋮ Asymmetric Steklov problems with sign-changing weights ⋮ An asymmetric Steklov problem with weights ⋮ Existence of the Fučík type spectrums for the generalized \(p\)-Laplace operators ⋮ Unnamed Item

Cites Work

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• Asymmetric elliptic problems with indefinite weights
• On the antimaximum principle for the \(p\)-Laplacian with indefinite weight
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• Minimax theorems on \(C^1\) manifolds via Ekeland variational principle
• On the variational principle
• A strong maximum principle for some quasilinear elliptic equations
• Local behavior of solutions of quasi-linear equations
• On Eigenvalue Problems of the p-Laplacian with Neumann Boundary Conditions
• Boundary regularity for solutions of degenerate elliptic equations

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