Stable and finite Morse index solutions of Toda system

[摘要] We prove a Liouville type theorem and a partial regularity result for stable and finite Morse index solutions of Toda system. The main tools are integral estimates, a monotonicity formula and blowing down analysis. For such systems, they may be split into two sub-systems during the blowing down process. Some 8-regularity theorems are developed to deal with this problem. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-15

[关键词] Stable or finite Morse index solutions;Toda system;Liouville theorem;Partial regularity