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.
Optimal Control of Semilinear Elliptic Partial Differential Equations with Non-Lipschitzian Nonlinearities
Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations
Analysis of optimal control problems of semilinear elliptic equations by BV-functions
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