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Boundary hemivariational inequality problems with doubly nonlinear operators

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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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Authors and Affiliations

  1. College of Sciences, Guangxi University for Nationalities, Nanning, Guangxi, 530006, People’s Republic of China

    Zijia Peng & Zhenhai Liu

  2. School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan, 410075, People’s Republic of China

    Xiaoyou Liu

Authors
  1. Zijia Peng
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  2. Zhenhai Liu
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  3. Xiaoyou Liu
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Correspondence to Zhenhai Liu.

Additional information

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

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