No Cover Image

Journal article 220 views

Symmetry and asymmetry of minimizers of a class of noncoercive functionals / Friedemann Brock; Gisella Croce; Olivier Guibé; Anna Mercaldo

Advances in Calculus of Variations, Volume: 13, Issue: 1, Pages: 15 - 32

Swansea University Author: Friedemann, Brock

Full text not available from this repository: check for access using links below.

Check full text

DOI (Published version): 10.1515/acv-2017-0005

Abstract

We prove symmetry results for minimizers of a noncoercive functional defined on theclass of Sobolev functions with zero mean value. The minimizers are foliated Schwarz symmetric,i.e., they are axially symmetric with respect to an axis passing through the origin and nonincreasingin the polar angle fr...

Full description

Published in: Advances in Calculus of Variations
ISSN: 1864-8258 1864-8266
Published: Walter de Gruyter GmbH 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa48732
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: We prove symmetry results for minimizers of a noncoercive functional defined on theclass of Sobolev functions with zero mean value. The minimizers are foliated Schwarz symmetric,i.e., they are axially symmetric with respect to an axis passing through the origin and nonincreasingin the polar angle from this axis. In the two-dimensional case, we show a symmetry breaking.
Keywords: Foliated Schwarz symmetry, Euler equation, symmetry breaking
College: College of Science
Issue: 1
Start Page: 15
End Page: 32