Multiple solutions to a Neumann problem with equi-diffusive reaction term

DOI10.3934/dcdss.2012.5.765zbMath1352.35060OpenAlexW2312963970MaRDI QIDQ449517

Salvatore A. Marano, Nikolaos S. Papageorgiou, Giuseppina D'Aguì

Publication date: 30 August 2012

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

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.765

zbMATH Keywords

critical groupsNeumann problemsub- and super-solutionsnodal solutionsconstant-sign solutionsMorse identity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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On p-logistic equations of equidiffusive type ⋮ On a Robin problem with \(p\)-Laplacian and reaction bounded only from above ⋮ Positive solutions for parametric \(p\)-Laplacian equations ⋮ Anisotropic Robin problems with logistic reaction

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