Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls
arXiv:1012.0989
Abstract
An optimal control problem governed by semilinear elliptic partial differential equations is considered. The equation is in divergence form with the leading term containing controls. By studying the -closure of the leading term, an existence result is established under a Cesari-type condition.
24 pages