CLASSIFICATION OF BLOW-UP LIMITS FOR THE SINH-GORDON EQUATION
Jevnikar, Aleks2; Wei, Juncheng1; Yang, Wen3
刊名DIFFERENTIAL AND INTEGRAL EQUATIONS
2018-09-01
卷号31期号:9-10页码:657-684
ISSN号0893-4983
英文摘要

The aim of this paper is to use a selection process and a careful study of the interaction of bubbling solutions to show a classification result for the blow-up values of the elliptic sinh-Gordon equation Delta u + h(1)e(u) - h(2)e(u) = 0 in B-1 subset of R-2. In particular we get that the blow-up values are multiple of 8 pi. It generalizes the result of Jost, Wang, Ye and Zhou [20] where the extra assumption h(1) = h(2) is crucially used.

资助项目PRIN project Variational and perturbative aspects of nonlinear differential problems ; NSERC of Canada ; grant CAS Pioneer Hundred Talents Program[Y8S3011001]
WOS关键词Mean-field Equation ; Nonlinear Elliptic-equations ; Scalar Curvature Equation ; Compact Surfaces ; Existence Result ; Statistical-mechanics ; Moving Planes ; Toda Systems ; Nonuniqueness ; Conjecture
WOS研究方向Mathematics
语种英语
出版者KHAYYAM PUBL CO INC
WOS记录号WOS:000445977900001
内容类型期刊论文
版本出版稿
源URL[http://ir.wipm.ac.cn/handle/112942/13124]  
专题中国科学院武汉物理与数学研究所
通讯作者Jevnikar, Aleks
作者单位1.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
2.Univ Roma Tor Vergata, Via Ric Sci 1, I-00133 Rome, Italy
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
Jevnikar, Aleks,Wei, Juncheng,Yang, Wen. CLASSIFICATION OF BLOW-UP LIMITS FOR THE SINH-GORDON EQUATION[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2018,31(9-10):657-684.
APA Jevnikar, Aleks,Wei, Juncheng,&Yang, Wen.(2018).CLASSIFICATION OF BLOW-UP LIMITS FOR THE SINH-GORDON EQUATION.DIFFERENTIAL AND INTEGRAL EQUATIONS,31(9-10),657-684.
MLA Jevnikar, Aleks,et al."CLASSIFICATION OF BLOW-UP LIMITS FOR THE SINH-GORDON EQUATION".DIFFERENTIAL AND INTEGRAL EQUATIONS 31.9-10(2018):657-684.
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