On Semicoercive Variational-Hemivariational Inequalities—Existence, Approximation, and Regularization

被引：11
作者：
Chadli O. [1 ]
Gwinner J. [2 ]
Ovcharova N. [2 ]
机构：
[1] Laboratory of Mathematical Analysis and Applications, Ibn Zohr University, Agadir
[2] Department of Aerospace Engineering, Universität der Bundeswehr München, Neubiberg
来源：
Vietnam Journal of Mathematics | 2018年 / 46卷 / 2期
关键词：
Hemivariational inequality; Mosco convergence; Nonmonotone contact; Plus function; Pseudomonotone bifunction; Regularization by smoothing; Semicoercivity; Unilateral contact;
D O I：
10.1007/s10013-018-0282-2
中图分类号：
学科分类号：
摘要：
In this paper, we are concerned with semicoercive variational-hemivariational inequalities that encompass nonlinear semicoercive monotone variational inequalities (VIs) and pseudomonotone VIs in reflexive Banach spaces and hemivariational inequalities (HVIs) in function spaces. We present existence, approximation, and regularization results. Our approach to our existence result is based on recession arguments. We employ regularization techniques of nondifferentiable optimization to smooth the jumps in the hemivariational term. We treat nonconforming finite element approximation via Mosco convergence. As an example, we consider a semicoercive unilateral boundary value problem with nonmonotone boundary conditions that models a unilateral contact problem for a nonlinear elastic body under a nonmonotone friction law. © 2018, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.
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页码：329 / 342
页数：13
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