International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 339-346
doi:10.1155/S0161171297000458

Optimal control of nonsmooth system governed by quasi-linear elliptic equations

Abstract

In this paper, we discuss a class of optimal control problems of nonsmooth systems governed by quasi-linear elliptic partial differential equations, give the existence of the problem. Through the smoothness and the approximation of the original problem, we get the necessary condition, which can be considered as the Euler-Lagrange condition under quasi-linear case.