AIMS Mathematics, 2020, 5(5): 4466-4481. doi: 10.3934/math.2020287.

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

Department of Mathematics, Jining University, Qufu 273155, Shandong, P. R. China

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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Keywords critical points; non-smooth functions; deformation; variational-hemivariational inequality; locally Lipschitz continuous

Citation: Yan Ning, Daowei Lu. A critical point theorem for a class of non-differentiable functionals with applications. AIMS Mathematics, 2020, 5(5): 4466-4481. doi: 10.3934/math.2020287


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