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Existence of Solutions for a Class of Noncoercive Variational–Hemivariational Inequalities Arising in Contact Problems

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Abstract

The primary objective is to investigate a class of noncoercive variational–hemivariational inequalities on a Banach space. We start with several new existence results for the abstract inequalities in which our approach is based on arguments of recession analysis and the theory of pseudomonotone operators. A nonsmooth elastic contact problem is considered as an illustrative application.

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Acknowledgements

This project is supported by NNSF of China Grant Nos. 11671101 and 11961074, NSF of Guangxi Grant No. 2018GXNSFDA138002. The High Level Innovation Team Program from Guangxi Higher Education Institutions of China (Document No. [2018] 35). This project has also received funding from the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Skłodowska-Curie grant agreement No. 823731-CONMECH. National Science Center of Poland under Preludium Project No. 2017/25/N/ST1/00611, and the Startup Project of Doctor Scientific Research of Yulin Normal University No. G2020ZK07.

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Authors and Affiliations

  1. Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, 537000, P.R. China

    Yongjian Liu & Shengda Zeng

  2. Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning, Guangxi, 530006, P.R. China

    Zhenhai Liu

  3. Center for Fundamental Science, and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung, 80708, Taiwan

    Ching-Feng Wen

  4. Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung, 80708, Taiwan

    Ching-Feng Wen

  5. Center for General Education, China Medical University, Taichung, Taiwan

    Jen-Chih Yao

  6. Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow, ul. Lojasiewicza 6, 30348, Krakow, Poland

    Shengda Zeng

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  1. Yongjian Liu
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Correspondence to Zhenhai Liu or Ching-Feng Wen.

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Liu, Y., Liu, Z., Wen, CF. et al. Existence of Solutions for a Class of Noncoercive Variational–Hemivariational Inequalities Arising in Contact Problems. Appl Math Optim 84, 2037–2059 (2021). https://doi.org/10.1007/s00245-020-09703-1

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