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Existence results for obstacle problems for nonlinear hemivariational inequality at resonance
Authors:Jilin Chen
Institution:Department of Mathematics, Zhaotong Teachers College, Zhaotong, Yunnan 657000, People’s Republic of China
Abstract:In this paper, we are interested in studying the existence of solutions to obstacle problems for nonlinear hemivariational inequality at resonance driven by the pp-Laplacian. Using a variational approach based on the nonsmooth critical point theory for nondifferentiable functionals. We prove two existence theorems.
Keywords:Locally Lipschitz functional  Generalized gradient  Critical point  Obstacle
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