Uniqueness results for optimization problems with prescribed rearrangement |
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| Authors: | M F Betta A Mercalso |
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| Institution: | (1) Dip. di Matematica e Appl.  R. Caccioppoli , Universitá di Napoli, Complesso Monte S. Angelo, 80126 Napoli, Italia |
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| Abstract: | In this paper we study the case of equalities in some comparison results for L
1-norm or L
 -norm of the solutions of Dirichlet elliptic problem or Hamilton-Jacobi equations. We show that equalities are achieved only in spherically symmetric situations.Work partially supported by MURST (40%). |
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| Keywords: | Elliptic equations Hamilton-Jacobi equations optimization rearrangements |
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