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Use of the Domain Derivative to Prove Symmetry Results in Partial Differential Equations

โœ Scribed by Mourad Choulli; Antoine Henrot

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
535 KB
Volume
192
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

In this paper we present a different method for proving symmetry results in partial differential equations. The principal idea is to use the classical tool of shape optimization, namely, the differentiation with respect to the domain. The aim is to derive, from an optimality condition, information on the boundary of the domain.

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