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.
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...
| 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 |