Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions |
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| Authors: | Giuseppe Buttazzo Gianni Dal Maso |
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| Institution: | (1) Dipartimento di Matematica, via Machiavelli 35, 44100 Ferrara, Italy;(2) S.I.S.S.A., Strada Costiera 11, 34014 Trieste, Italy |
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| Abstract: | We study an optimal design problem for the domain of an elliptic equation with Dirichlet boundary conditions. We introduce a relaxed formulation of the problem which always admits a solution, and we prove some necessary conditions for optimality both for the relaxed and for the original problem. |
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