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Optimal Control Problems for a Class of Semilinear Multisolution Elliptic Equations

Author

Listed:
  • H. Gao

    (Northeast Normal University)

  • N.H. Pavel

    (Ohio University)

Abstract

We study the optimal control problem for a class of elliptic problems that may possess multiple solutions. We obtain necessary conditions for optimal control by constructing a related parabolic problem and using known results for the parabolic problem.

Suggested Citation

  • H. Gao & N.H. Pavel, 2003. "Optimal Control Problems for a Class of Semilinear Multisolution Elliptic Equations," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 353-380, August.
    • Handle: RePEc:spr:joptap:v:118:y:2003:i:2:d:10.1023_a:1025403506651
    DOI: 10.1023/A:1025403506651
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