Boundary hemivariational inequality problems with doubly nonlinear operators |
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| Authors: | Zijia Peng Zhenhai Liu Xiaoyou Liu |
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| Affiliation: | 1. College of Sciences, Guangxi University for Nationalities, Nanning, Guangxi, 530006, People’s Republic of China
2. School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan, 410075, People’s Republic of China
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| Abstract: | In this paper, we investigate a class of nonlinear boundary hemivariational inequality problems. Under suitable hypotheses, the existence of solutions is established via rewriting these problems into a class of evolution inclusions and using the discretization method and the theory of pseudomonotone operators. Moreover, the continuous dependence result of the solutions to the initial data is given. |
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