An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains

DOI10.1007/S00030-013-0255-9zbMath1296.35108arXiv1305.2031OpenAlexW2071508802MaRDI QIDQ405601

Patrizia Pucci, Csaba Varga, Perera, Kanishka

Publication date: 5 September 2014

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2031

zbMATH Keywords

Morse theoryweak solutionsunbounded domainsRobin boundary conditionsnonlinear eigenvalue problemsweighted \(p\)-Laplaciancohomological local splitting

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30)

Related Items (10)

On critical \(p\)-Laplacian systems ⋮ A sharp Sobolev inequality and its applications to an indefinite elliptic equation with Neumann boundary conditions ⋮ Positive solutions for nonlinear nonhomogeneous Robin problems ⋮ On a Hardy–Sobolev-type inequality and applications ⋮ Quasilinear equation with critical exponential growth in the zero mass case ⋮ Existence theorems for fractional p-Laplacian problems ⋮ Perturbations of nonlinear eigenvalue problems ⋮ On the eigenvalue problem involving the weighted \(p\)-Laplacian in radially symmetric domains ⋮ An indefinite quasilinear elliptic problem with weights in anisotropic spaces ⋮ A sharp Hardy-Sobolev inequality with boundary term and applications

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• NONTRIVIAL SOLUTIONS OF p-SUPERLINEAR p-LAPLACIAN PROBLEMS VIA A COHOMOLOGICAL LOCAL SPLITTING
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