On Optimal Control Problem in Coefficients for Nonlinear Elliptic Variational Inequalities

Abstract

In this paper we study an optimal control problem for a nonlinear elliptic variational inequality with generalized solenoidal coefficients which we adopt as controls in L°°(fi). We prove the existence of optimal solution of the stated problem.

Keywords

• monotone equations
• elliptic variational inequalities
• control in coefficients
• Sobolev spaces