USE OF THE DOMAIN DERIVATIVE TO PROVE SYMMETRY RESULTS IN PARTIAL-DIFFERENTIAL EQUATIONS

Authors
CHOULLI M HENROT A
Citation
M. Choulli et A. Henrot, USE OF THE DOMAIN DERIVATIVE TO PROVE SYMMETRY RESULTS IN PARTIAL-DIFFERENTIAL EQUATIONS, Mathematische Nachrichten, 192, 1998, pp. 91-103
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
192
Year of publication
1998
Pages
91 - 103
Database
ISI
SICI code
0025-584X(1998)192:<91:UOTDDT>2.0.ZU;2-S
Abstract
In this paper we present a different method for proving symmetry resul ts in partial differential equations. The principal idea is to use the classical tool of shape optimization, namely, the differentiation wit h respect to the domain. The aim is to derive, from an optimality cond ition, information on the boundary of the domain.