https://scholars.lib.ntu.edu.tw/handle/123456789/572110
標題: | Geometric quantities arising from bubbling analysis of mean field equations | 作者: | Lin C.-S CHIN-LUNG WANG |
公開日期: | 2020 | 卷: | 28 | 期: | 6 | 起(迄)頁: | 1289-1313 | 來源出版物: | Communications in Analysis and Geometry | 摘要: | Let E = C/Λ be a flat torus and G be its Green function with singularity at 0. Consider the multiple Green function Gn on En: n Gn(z1, . . ., zn):= X G(zi ? zj) ? n X G(zi). i<j i=1 A critical point a = (a1, . . ., an) of Gn is called trivial if {a1, . . ., an} = {?a1, . . ., ?an}. For such a point a, two geometric quantities D(a) and H(a) arising from bubbling analysis of mean field equations are introduced. D(a) is a global quantity measuring asymptotic expansion and H(a) is the Hessian of Gn at a. By way of geometry of Lam? curves developed in [3], we derive precise formulas to relate these two quantities. ? 2020 International Press of Boston, Inc.. All rights reserved. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85098329816&doi=10.4310%2fCAG.2020.V28.N6.A2&partnerID=40&md5=0f07e5245c26a1ce63ea4d33bbe32f97 https://scholars.lib.ntu.edu.tw/handle/123456789/572110 |
ISSN: | 10198385 | DOI: | 10.4310/CAG.2020.V28.N6.A2 |
顯示於: | 數學系 |
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