Premium
Use of the Domain Derivative to Prove Symmetry Results in Partial Differential Equations
Author(s) -
Choulli Mourad,
Henrot Antoine
Publication year - 1998
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.19981920106
Subject(s) - mathematics , domain (mathematical analysis) , partial derivative , symmetry (geometry) , partial differential equation , mathematical analysis , boundary value problem , derivative (finance) , principal (computer security) , boundary (topology) , geometry , computer science , financial economics , economics , operating system
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.