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Bubbling location for F-harmonic maps and inhomogeneous Landau-Lifshitz equations
Li, Yuxiang; Wang, Youde
2006
Source PublicationCOMMENTARII MATHEMATICI HELVETICI
ISSN0010-2571
Volume81Issue:2Pages:433-448
AbstractLet f be a positive smooth function on a closed Riemann surface (M, g). The f-energy of a map u from M to a Riemannian manifold (N, h) is defined as [GRAPHICS] In this paper, we will study the blow-up properties of Palais-Smale sequences for E-f. We will show that, if a Palais-Smale sequence is not compact, then it must blow up at some critical points of f. As a consequence, if an inhomogeneous Landau-Lifshitz system, i.e. a solution of [GRAPHICS] blows up at time infinity, then the blow-up points must be the critical points of f.
Keywordf-harmonic map inhomogeneous Landau-Lifshitz equation f-harmonic flow blow-up point
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000237714900006
PublisherEUROPEAN MATHEMATICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/3333
Collection数学所
Corresponding AuthorLi, Yuxiang
Affiliation1.Abdus Salaam Int Ctr Theoret Phys, Math Sect, I-34014 Trieste, Italy
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Li, Yuxiang,Wang, Youde. Bubbling location for F-harmonic maps and inhomogeneous Landau-Lifshitz equations[J]. COMMENTARII MATHEMATICI HELVETICI,2006,81(2):433-448.
APA Li, Yuxiang,&Wang, Youde.(2006).Bubbling location for F-harmonic maps and inhomogeneous Landau-Lifshitz equations.COMMENTARII MATHEMATICI HELVETICI,81(2),433-448.
MLA Li, Yuxiang,et al."Bubbling location for F-harmonic maps and inhomogeneous Landau-Lifshitz equations".COMMENTARII MATHEMATICI HELVETICI 81.2(2006):433-448.
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