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A critical point theorem for a class of non-differentiable functionals with applications

Yan Ning Daowei Lu

*Corresponding author: Yan Ning ningkegood@126.com

Math2020,5,4466doi:10.3934/math.2020287

This paper presents a multiplicity theorem for a kind of non-smooth functionals. The proof of this theorem relies on a suitable deformation lemma and the perturbation methods. We also apply this result to prove a multiplicity theorem for elliptic variational-hemivariational inequality problems.

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