Existence of three nontrivial smooth solutions for nonlinear resonant Neumann problems driven by the \(p\)-Laplacian

DOI10.4171/ZAA/1415zbMath1202.35109WikidataQ112251815 ScholiaQ112251815MaRDI QIDQ606467

Nikolaos S. Papageorgiou, Leszek Gasiński

Publication date: 17 November 2010

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

critical groups\(p\)-Laplacianresonancelocal minimizerscontractible sets

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) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Positive solutions for perturbations of the eigenvalue problem for the Robin p-Laplacian ⋮ Existence and uniqueness of positive solutions for the Neumann \(p\)-Laplacian ⋮ Multiple solutions for resonant problems of the Robin \(p\)-Laplacian plus an indefinite potential ⋮ A multiplicity theorem for the Neumann \(p\)-Laplacian with an asymmetric nonsmooth potential ⋮ Multiplicity theorems for superlinear elliptic problems ⋮ Multiplicity theorems for nonlinear nonhomogeneous Robin problems ⋮ Eigenvalue problems for hemivariational inequalities ⋮ Existence of solutions for a class of nonvariational quasilinear periodic problems

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