Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls
Li, Bo, Hongwei Lou · arXiv (Cornell University) · 2010
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 $G$-closure of the leading term, an existence result is established under a Cesari-type condition.