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

Gong Liutang and Fei Pusheng

 Department of Mathematics, Wuhan University, Wuhan 430072, China
Received 20 June 1995; Revised 20 September 1995

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.