Symmetry and asymmetry of minimizers of a class of noncoercive functionals

Autor:	Brock, F, Croce, G, Guibé, O, Mercaldo, A
Rok vydání:	2016
Předmět:	Mathematics - Analysis of PDEs Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	In this paper we prove symmetry results for minimizers of a non coercive functional defined on the class of Sobolev functions with zero mean value. We prove that the minimizers are foliated Schwarz symmetric, i.e. they are axially symmetric with respect to an axis passing through the origin and nonincreasing in the polar angle from this axis. In the two dimensional case we show a symmetry breaking. Comment: Advances in Calculus of Variation, Walter de Gruyter GmbH, 2017
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1601.07327 Zobrazit plný text záznamu View this record from Arxiv