# American Institute of Mathematical Sciences

April  1999, 5(2): 279-290. doi: 10.3934/dcds.1999.5.279

## Optimal control of systems governed by some elliptic equations

 1 Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, IL 62026, United States 2 Department of Mathematics, University of Lodz, 90-238 Lodz, Poland

Received  June 1998 Revised  June 1998 Published  January 1999

Based on variational methods sufficient conditions for the continuous dependence of the solution of a system governed by some elliptic equation on controls is discussed. Then these conditions are used to obtain an existence theorem for the optimal control problem of a system governed by nonlinear elliptic equations with controls.
Citation: Urszula Ledzewicz, Stanislaw Walczak. Optimal control of systems governed by some elliptic equations. Discrete and Continuous Dynamical Systems, 1999, 5 (2) : 279-290. doi: 10.3934/dcds.1999.5.279
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