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, MARIA FRANCESCA; Mercaldo, Anna. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - STAMPA. - 5:2(1996), pp. 183-205. [10.1007/BF00396778]
Uniqueness results for optimization problems with prescribed rearrangement
BETTA, MARIA FRANCESCA;MERCALDO, ANNA
1996
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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