Non-smooth extension of a three critical points theorem by Ricceri with an application to p(x)-Laplacian differential inclusions

We extend a smooth Ricceri three critical-points theorem to a non-smooth case. Our approach is based on the non-smooth analysis. As an application, we obtain the existence of at least three critical points for a p(x)-Laplacian differential inclusion.

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2015; no. 232; pp. 1 - 16
Main Authors Ziqing Yuan, Lihong Huang
Format Journal Article
LanguageEnglish
Published Texas State University 10.09.2015
Subjects
differential inclusion
locally Lipschitz
Nonsmooth critical point theory
p(x)-Laplacian
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Summary:We extend a smooth Ricceri three critical-points theorem to a non-smooth case. Our approach is based on the non-smooth analysis. As an application, we obtain the existence of at least three critical points for a p(x)-Laplacian differential inclusion.
ISSN:1072-6691