ON RANK-2 TODA SYSTEMS WITH ARBITRARY SINGULARITIES: LOCAL MASS AND NEW ESTIMATES
文献类型：期刊论文
| 作者 | Zhang, Lei4; Lin, Chang-Shou1; Wei, Jun-cheng2; Yang, Wen3 |
| 刊名 | ANALYSIS & PDE
 |
| 出版日期 | 2018 |
| 卷号 | 11期号:4页码:873-898 |
| 关键词 | SU(n+1)-Toda system asymptotic analysis a priori estimate classification theorem topological degree blowup solutions Riemann-Hurwitz theorem |
| ISSN号 | 1948-206X |
| DOI | 10.2140/apde.2018.11.873 |
| 英文摘要 | For all rank-2 Toda systems with an arbitrary singular source, we use a unified approach to prove: (1) The pair of local masses (sigma(1), sigma(2)) at each blowup point has the expression sigma(i) = 2(N-i1 mu(1) + N-i2 mu(2) + N-i3), where N-ij is an element of Z, i D 1, 2, j D 1, 2, 3. (2) At each vortex point p(t) if (alpha(1)(t), alpha(2)(t)) are integers and rho(i) is not an element of 4 pi N, then all the solutions of Toda systems are uniformly bounded. (3) If the blowup point q is a vortex point p(t) and alpha(1)(t), alpha(2)(t) and 1 are linearly independent over Q, then u(k)(x) + 2log vertical bar x - p(t)vertical bar <= C. The Harnack-type inequalities of 3 are important for studying the bubbling behavior near each blowup point. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000429121100003 |
| 出版者 | MATHEMATICAL SCIENCE PUBL |
| 源URL | [http://202.127.146.157/handle/2RYDP1HH/4922]  |
| 专题 | 中国科学院武汉植物园 |
| 通讯作者 | Lin, Chang-Shou |
| 作者单位 | 1.Natl Taiwan Univ, Taida Inst Math Sci, Dept Math, Taipei, Taiwan 2.Univ British Columbia, Dept Math, Vancouver, BC, Canada 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan, Hubei, Peoples R China 4.Univ Florida, Dept Math, Gainesville, FL 32611 USA |
| 推荐引用方式 GB/T 7714 | Zhang, Lei,Lin, Chang-Shou,Wei, Jun-cheng,et al. ON RANK-2 TODA SYSTEMS WITH ARBITRARY SINGULARITIES: LOCAL MASS AND NEW ESTIMATES[J]. ANALYSIS & PDE,2018,11(4):873-898. |
| APA | Zhang, Lei,Lin, Chang-Shou,Wei, Jun-cheng,&Yang, Wen.(2018).ON RANK-2 TODA SYSTEMS WITH ARBITRARY SINGULARITIES: LOCAL MASS AND NEW ESTIMATES.ANALYSIS & PDE,11(4),873-898. |
| MLA | Zhang, Lei,et al."ON RANK-2 TODA SYSTEMS WITH ARBITRARY SINGULARITIES: LOCAL MASS AND NEW ESTIMATES".ANALYSIS & PDE 11.4(2018):873-898. |
入库方式： OAI收割
来源：武汉植物园
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