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Existence and multiplicity of solutions for p(x)-Laplacian differential inclusions involving critical growth
Ziqing Yuan
Keywords:Locally Lipschitz. Nonsmooth analysis. Hemivariational inequality.
Abstract:
      This paper concernes with the existence and multiplicity of solutions for p(x)-Laplacian differential inclusions involving critical growth. The main tools are the nonsmooth analysis and variational methods. Our main results generalize some recent results in the literature into nonsmooth cases.