Multiple solutions for a class of nonlinear Neumann eigenvalue problems

DOI10.3934/cpaa.2014.13.1491zbMath1292.35176OpenAlexW2332369215WikidataQ112251794 ScholiaQ112251794MaRDI QIDQ2438966

Nikolaos S. Papageorgiou, Leszek Gasiński

Publication date: 7 March 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.1491

zbMATH Keywords

critical groupsmountain pass theoremflow invariancenodal solutionsfirst nonzero eigenvaluenegative gradient flowsmooth solutions of constant sign

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

On a Robin problem with \(p\)-Laplacian and reaction bounded only from above ⋮ Nonlinear noncoercive Neumann problems ⋮ Positive solutions for parametric \(p\)-Laplacian equations ⋮ Positive solutions for the Neumann \(p\)-Laplacian with superdiffusive reaction ⋮ Multiple and nodal solutions for parametric Neumann problems with nonhomogeneous differential operator and critical growth ⋮ Critical Neumann problems with asymmetric nonlinearity ⋮ Infinitely many sign-changing solutions for \(p\)-Laplacian Neumann problems with indefinite weight ⋮ On nodal solutions for nonlinear elliptic equations with a nonhomogeneous differential operator

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