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 Volume 10, Number 4, 2020, Pages 1416-1432 Existence and multiplicity of solutions for p(x)-Laplacian differential inclusions involving critical growth Ziqing Yuan,Mugen Huang 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. PDF      Download reader