期刊论文详细信息
JOURNAL OF DIFFERENTIAL EQUATIONS 卷:268
Degree counting for Toda system with simple singularity: One point blow up
Article
Lee, Youngae1  Lin, Chang-Shou2  Yang, Wen3  Zhang, Lei4 
[1] Kyungpook Natl Univ, Teachers Coll, Dept Math Educ, Daegu, South Korea
[2] Natl Taiwan Univ, Ctr Adv Study Theoret Sci, Taida Inst Math Sci, Taipei 106, Taiwan
[3] Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China
[4] Univ Florida, Dept Math, 358 Little Hall,POB 118105, Gainesville, FL 32611 USA
关键词: Toda system;    Topological degree;    Bubbling solutions;    Shadow system;   
DOI  :  10.1016/j.jde.2019.09.016
来源: Elsevier
PDF
【 摘 要 】

In this paper, we study the degree counting formula of the rank two Toda system with simple singular source when rho(1) is an element of(0, 4 pi) boolean OR(4 pi, 8 pi) and rho(2) is not an element of 4 pi N. The key step is to derive the degree formula of the shadow system, which arises from the bubbling solutions as rho(1) tends to 4 pi. In order to compute the topological degree of the shadow system, we need to find some suitable deformation. During this deformation, we shall deal with new difficulty arising from the phenomenon: blow up does not necessarily imply concentration of mass. This phenomenon occurs due to the collapsing of singularities. This is a continuation of the previous work [25]. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_jde_2019_09_016.pdf 1800KB PDF download
  文献评价指标  
  下载次数:0次 浏览次数:0次