EXISTENCE OF BUBBLING SOLUTIONS WITHOUT MASS CONCENTRATION | |
Lee, Youngae2; Lin, Chang-Shou1; Yang, Wen3 | |
刊名 | ANNALES DE L INSTITUT FOURIER |
2019 | |
卷号 | 69期号:2页码:895-940 |
关键词 | bubbling phenomena mean field equation |
ISSN号 | 0373-0956 |
英文摘要 | The seminal work by Brezis and Merle has been pioneering in studying the bubbling phenomena of the mean field equation with singular sources. When the vortex points are not collapsing, the mean field equation possesses the property of the so-called "bubbling implies mass concentration". Recently, Lin and Tarantello pointed out that the "bubbling implies mass concentration" phenomena might not hold in general if the collapse of singularities occurs. In this paper, we shall construct the first concrete example of non-concentrated bubbling solution of the mean field equation with collapsing singularities. |
资助项目 | NSFC[11801550] |
WOS关键词 | MEAN-FIELD EQUATIONS ; LIOUVILLE-TYPE EQUATIONS ; BLOW-UP SOLUTIONS ; TODA SYSTEM ; SINGULAR LIMITS ; INEQUALITY |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ANNALES INST FOURIER |
WOS记录号 | WOS:000470077500013 |
资助机构 | NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC |
内容类型 | 期刊论文 |
源URL | [http://ir.wipm.ac.cn/handle/112942/14438] |
专题 | 中国科学院武汉物理与数学研究所 |
通讯作者 | Lee, Youngae |
作者单位 | 1.Natl Taiwan Univ, Ctr Adv Study Theoret Sci, Taida Inst Math Sci, Taipei 106, Taiwan 2.Kyungpook Natl Univ, Teachers Coll, Dept Math Educ, Daegu, South Korea 3.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China |
推荐引用方式 GB/T 7714 | Lee, Youngae,Lin, Chang-Shou,Yang, Wen. EXISTENCE OF BUBBLING SOLUTIONS WITHOUT MASS CONCENTRATION[J]. ANNALES DE L INSTITUT FOURIER,2019,69(2):895-940. |
APA | Lee, Youngae,Lin, Chang-Shou,&Yang, Wen.(2019).EXISTENCE OF BUBBLING SOLUTIONS WITHOUT MASS CONCENTRATION.ANNALES DE L INSTITUT FOURIER,69(2),895-940. |
MLA | Lee, Youngae,et al."EXISTENCE OF BUBBLING SOLUTIONS WITHOUT MASS CONCENTRATION".ANNALES DE L INSTITUT FOURIER 69.2(2019):895-940. |
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