| Volume 10, Number 4, 2020, Pages 1416-1432 DOI：10.11948/20190216 |
| 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. |
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