ON THE EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR EQUATIONS DRIVEN BY THE $p$-LAPLACIAN AND WITH A NON-SMOOTH POTENTIAL

DOI10.1017/S0013091502000159zbMath1046.34070WikidataQ112251859 ScholiaQ112251859MaRDI QIDQ4707430

Nikolaos S. Papageorgiou, Leszek Gasiński

Publication date: 2003

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

quasilinear problem periodic solutions local linking nonsmooth critical point theory locally Lipschitz functional Clarke subdifferential p-Laplacian coercive functional non-smooth Palais-Smale condition

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60)

Related Items (13)

Multiplicity theorems for periodic systems with a $p$-Laplacian-like operator ⋮ Multiple solutions for resonant nonlinear periodic equations ⋮ Existence of positive and of multiple solutions for nonlinear periodic problems ⋮ Impulsive differential inclusions via variational method ⋮ Existence and subharmonicity of solutions for nonsmooth $p$-Laplacian systems ⋮ Nonlinear resonant periodic problems with concave terms ⋮ Variational approach of $p$-Laplacian impulsive differential equations with periodic conditions ⋮ Multiplicity theorems for scalar periodic problems at resonance with $p$-Laplacian-like operator ⋮ Multiple nontrivial solutions for nonlinear periodic problems with the $p$-Laplacian ⋮ Some existence results for a periodic problem with non-smooth potential ⋮ Variational approach for a p-Laplacian boundary value problem on time scales ⋮ Periodic solutions for a differential inclusion problem involving the $p(t)$-Laplacian ⋮ Existence of solutions for a class of nonvariational quasilinear periodic problems

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