Continuous Dependence and Optimal Control for a Class of Variational–Hemivariational Inequalities
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The paper investigates control problems for a class of nonlinear elliptic variational–hemivariational inequalities with constraint sets. Based on the well posedness of a variational–hemivariational inequality, we prove some results on continuous dependence and existence of optimal pairs to optimal control problems. We obtain some continuous dependence results in which the strong dependence and weak dependence are considered, respectively. A frictional contact problem is given to illustrate our main results.
KeywordsContinuous dependence Optimal control Variational–hemivariational inequality Mosco convergence
Mathematics Subject Classification47J20 49J40 74M10 74M15 90C26
- 19.Sofonea, M.: Optimal control of a class of variational-hemivariational inequalities in reflexive Banach spaces. Appl. Math. Optim. (2017). https://doi.org/10.1007/s00245-017-9450-0