Elliptic functions, Green functions and the mean field equations on tori

NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 > Item 987654321/51129

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/51129

题名:	Elliptic functions, Green functions and the mean field equations on tori
作者:	Lin,CS;Wang,CL
贡献者:	數學系
关键词:	RIEMANN SURFACES
日期:	2010
上传时间:	2012-03-27 18:22:38 (UTC+8)
出版者:	國立中央大學
摘要:	We show that the Green functions on flat tori can have either three or five critical points only. There does not seem to be any direct method to attack this problem. Instead, we have to employ sophisticated nonlinear partial differential equations to study it. We also study the distribution of the number of critical points over the moduli space of flat tori through deformations. The functional equations of special theta values provide important inequalities which lead to a solution for all rhombus tori.
關聯:	ANNALS OF MATHEMATICS
显示于类别:	[數學系] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML	487	检视/开启

在NCUIR中所有的数据项都受到原著作权保护.

社群 sharing