Perron-Frobenius theory and symmetry of solutions to nonlinear PDE's

Authors
Sigal, IM
Citation
Im. Sigal, Perron-Frobenius theory and symmetry of solutions to nonlinear PDE's, LETT MATH P, 53(4), 2000, pp. 313-320
Citations number
20
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
53
Issue
4
Year of publication
2000
Pages
313 - 320
Database
ISI
SICI code
0377-9017(200009)53:4<313:PTASOS>2.0.ZU;2-O
Abstract
We suggest a simple but general method of establishing symmetry properties of stable solutions of nonlinear elliptic equations. The method relies on c haracterization of symmetry breaking with a help of zero modes and on a gen eralization of the Perron-Frobenius theory.