Two nontrivial solutions for quasilinear periodic equations

DOI10.1090/S0002-9939-03-07076-XzbMath1055.34036OpenAlexW1734401699MaRDI QIDQ4433080

Nikolaos S. Papageorgiou, Evgenia H. Papageorgiou

Publication date: 29 October 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07076-x

zbMATH Keywords

Palais-Smale conditionstrong resonancecritical pointstrong deformation retractsecond deformation theoremordinary p-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (11)

Multiplicity theorems for periodic systems with a \(p\)-Laplacian-like operator ⋮ Existence of positive and of multiple solutions for nonlinear periodic problems ⋮ Nonlinear resonant periodic problems with concave terms ⋮ A nonlinear eigenvalue problem for the periodic scalar \(p\)-Laplacian ⋮ On the Existence of Three Nontrivial Solutions for Periodic Problems Driven by the Scalar p-Laplacian ⋮ Multiplicity theorems for scalar periodic problems at resonance with \(p\)-Laplacian-like operator ⋮ Solutions and multiple solutions for superlinear perturbations of the periodic scalar p-Laplacian ⋮ Multiple nontrivial solutions for nonlinear periodic problems with the \(p\)-Laplacian ⋮ ON THE MULTIPLICITY OF SOLUTIONS FOR NON-LINEAR PERIODIC PROBLEMS WITH THE NON-LINEARITY CROSSING SEVERAL EIGENVALUES ⋮ Periodic solutions for a differential inclusion problem involving the \(p(t)\)-Laplacian ⋮ Homoclinic solutions for a differential inclusion system involving the \(p(t)\)-Laplacian

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