A remark on comparison results via symmetrization-Reference-Cited by-同舟云学术

A remark on comparison results via symmetrization

Published:1986 Issue:1-2 Volume:102 Page:37-48
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Alvino A.,Lions P.L.,Trombetti G.

Abstract

SynopsisIn this paper, we study the converse of comparison results for solutions to linear second-order elliptic equations. Namely, in the inequalities proved by G. Talenti and others, we study the case of equality and prove that “equalities are achieved only in the spherical situation”. We also present some applications of these results to semilinear elliptic equations.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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