SOLUTIONS FOR DOUBLY RESONANT NONLINEAR NON-SMOOTH PERIODIC PROBLEMS

Sophia Th. Kyritsi; Nikolaos S. Papageorgiou

doi:10.1017/S0013091504000264

Abstract

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We study a nonlinear second-order periodic problem driven by the scalar $p$-Laplacian with a non-smooth potential. We consider the so-called doubly resonant situation allowing complete interaction (resonance) with both ends of the spectral interval. Using variational methods based on the non-smooth critical-point theory for locally Lipschitz functions and an abstract minimax principle concerning linking sets we establish the solvability of the problem.

AMS 2000 Mathematics subject classification: Primary 34B15; 34C25

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Article contents

SOLUTIONS FOR DOUBLY RESONANT NONLINEAR NON-SMOOTH PERIODIC PROBLEMS

Abstract

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

SOLUTIONS FOR DOUBLY RESONANT NONLINEAR NON-SMOOTH PERIODIC PROBLEMS

Abstract

Keywords

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