SIAM Journal on Mathematical Analysis, Volume 52, Issue 2, Page 1549-1566, January 2020.
This paper is devoted to an analysis of singular perturbations of inequality problems. For a general variational-hemivariational inequality, it is shown rigorously that under appropriate conditions, as the singular perturbation parameter approaches zero, the solution of the singularly perturbed problem converges to the solution of the limiting problem. As corollaries of this general result, we have similar convergence results for singularly perturbed problems of “pure” hemivariational inequalities and of variational inequalities. The results are illustrated in the study of an obstacle plate bending problem.

中文翻译：

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变分-半变分不等式的奇异摄动

SIAM数学分析杂志，第52卷，第2期，第1549-1566页，2020年1月。
本文致力于分析不平等问题的奇异摄动。对于一般的半变分不等式，严格地表明，在适当的条件下，当奇摄动参数接近零时，奇摄动问题的解收敛到极限问题的解。作为该一般结果的推论，对于“纯”半变分不等式和变分不等式的奇摄动问题，我们具有相似的收敛结果。结果在障碍板弯曲问题的研究中得到了说明。