Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains
Journal
J. Math. Anal. Appl. (2023)
Journal Volume
525
Journal Issue
2
Date Issued
2022-07-24
Author(s)
Abstract
In this note we show non-degeneracy and uniqueness results for solutions of
Toda systems associated to general simple Lie algebras with multiple singular
sources on bounded domains. The argument is based on spectral properties of
Cartan matrices and eigenvalue analysis of linearized Liouville-type problems.
This seems to be the first result for this class of problems and it covers all
the Lie algebras of any rank.
Subjects
Toda system; Simple Lie algebra; Linearized problem; Non-degeneracy; Uniqueness; MEAN-FIELD EQUATIONS; 2-DIMENSIONAL EULER EQUATIONS; STATIONARY FLOWS; ANALYTIC ASPECTS; CURVATURE; EXISTENCE; ALGEBRAS; Mathematics - Analysis of PDEs; Mathematics - Analysis of PDEs; 35J57, 35J99
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Description
17 pages
Type
journal article