In this paper we study the case of equalities in some comparison results for L(1)-norm or L(infinity)-norm of the solutions of Dirichlet elliptic problem or Hamilton-Jacobi equations. We show that equalities are achieved only in spherically symmetric situations.
Uniqueness results for optimization problems with prescribed rearrangement
Betta, MF;
1996-01-01
Abstract
In this paper we study the case of equalities in some comparison results for L(1)-norm or L(infinity)-norm of the solutions of Dirichlet elliptic problem or Hamilton-Jacobi equations. We show that equalities are achieved only in spherically symmetric situations.File in questo prodotto:
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