Abstract
In this paper we investigate the convergence behavior of the solutions to the time-dependent variational–hemivariational inequalities with respect to the data. First, we give an existence and uniqueness result for the problem, and then, deliver a continuous dependence result when all the data are subjected to perturbations. A semipermeability problem is given to illustrate our main results.
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Project supported by the National Science Center of Poland under Maestro Project No. UMO-2012/06/A/ST1/00262, and Special Funds of Guangxi Distinguished Experts Construction Engineering, Guangxi, P.R. China. It is also supported by the International Project co-financed by the Ministry of Science and Higher Education of Republic of Poland under Grant No. 3792/GGPJ/H2020/2017/0.
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Zeng, B., Liu, Z. & Migórski, S. On convergence of solutions to variational–hemivariational inequalities. Z. Angew. Math. Phys. 69, 87 (2018). https://doi.org/10.1007/s00033-018-0980-3
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DOI: https://doi.org/10.1007/s00033-018-0980-3