The spectrum and an index formula for the Neumann \(p\)-Laplacian and multiple solutions for problems with a crossing nonlinearity

DOI10.3934/dcds.2009.25.431zbMath1197.35184OpenAlexW1966344224MaRDI QIDQ841382

Vasile Staicu, Nikolaos S. Papageorgiou, Sergiu Aizicovici

Publication date: 16 September 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.431

zbMATH Keywords

index formula second eigenvalue homotopy invariant \((S)_{+}\)-operator crossing nonlinearity

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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