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Multiple periodic solutions for eigenvalue problems with a p-Laplacian and non-smooth potential

Guoqing Zhang|Sanyang Liu
대한수학회 (The Korean Mathematical Society)|2011.01|대한수학회보 (Bulletin of the KMS)|제48권 제1호|pp. 213-221

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키워드

p-Laplacianmultiple periodic solutionscritical points of non-smooth functionalseigenvalue problems
주제분류수학

초록

In this paper, we establish a multiple critical points theorem for a one-parameter family of non-smooth functionals. The obtained result is then exploited to prove a multiplicity result for a class of periodic eigenvalue problems driven by the p-Laplacian and with a non-smooth potential. Under suitable assumptions, we locate an open subinterval of the eigenvalue.

Abstract

In this paper, we establish a multiple critical points theorem for a one-parameter family of non-smooth functionals. The obtained result is then exploited to prove a multiplicity result for a class of periodic eigenvalue problems driven by the p-Laplacian and with a non-smooth potential. Under suitable assumptions, we locate an open subinterval of the eigenvalue.

참고문헌 (16)

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