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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Project supported by NNSF of China Grant No. 11271087, and No. 61263006, Guangxi Scientific Experimental (China-ASEAN Research) Centre No. 20120116 and open fund of Guangxi key laboratory of hybrid computation and IC design analysis No.2012HCIC07.
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Peng, Z., Liu, Z. & Liu, X. Boundary hemivariational inequality problems with doubly nonlinear operators. Math. Ann. 356, 1339–1358 (2013). https://doi.org/10.1007/s00208-012-0884-z
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DOI: https://doi.org/10.1007/s00208-012-0884-z