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. (c) 2023 Elsevier Inc. All rights reserved.
Bartolucci, D., Jevnikar, A., Jin, J., Lin, C., Liu, S. (2023). Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 525(2) [10.1016/j.jmaa.2023.127132].
Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains
Daniele Bartolucci;Aleks Jevnikar;
2023-09-15
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. (c) 2023 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
