Weighted isoperimetric inequalities on ℝ  n    and applications to rearrangements | Zendy

Betta M. Francesca | Zendy; Brock Friedemann | Zendy; Mercaldo Anna | Zendy; Posteraro M. Rosaria | Zendy

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Weighted isoperimetric inequalities on ℝ n and applications to rearrangements

Author(s) -

Betta M. Francesca,

Brock Friedemann,

Mercaldo Anna,

Posteraro M. Rosaria

Publication year - 2008

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200510619

Subject(s) - isoperimetric inequality , mathematics , domain (mathematical analysis) , inequality , class (philosophy) , combinatorics , pure mathematics , function (biology) , mathematical analysis , computer science , artificial intelligence , evolutionary biology , biology

We study isoperimetric inequalities for a certain class of probability measures on ℝ n together with applications to integral inequalities for weighted rearrangements. Furthermore, we compare the solution to a linear elliptic problem with the solution to some “rearranged” problem defined in the domain { x : x 1 < α ( x 2 , …, x n )} with a suitable function α ( x 2 , …, x n ). (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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