Distributed optimal control problems for a class of elliptic hemivariational inequalities with a parameter and its asymptotic behavior

In this paper, we study optimal control problems on the internal energy for a system governed by class of elliptic boundary hemivariational inequalities with parameter. The has been originated steady-state heat conduction problem non-monotone multivalued subdifferential condition portion domain described Clarke generalized gradient locally Lipschitz function. We prove an existence result controls and show asymptotic states, when parameter, like transfer coefficient, tends to infinity boundary.