A mean field equation with symmetry on torus

被引：1
|
作者：
Wang Meng [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2011年 / 54卷 / 10期
基金：
中国国家自然科学基金;
关键词：
mean field equation; torus; blow up; ONE-DIMENSIONAL SYMMETRY; TOPOLOGICAL-DEGREE; RIEMANN SURFACES; INEQUALITY; TRUDINGER; MANIFOLDS;
D O I：
10.1007/s11425-011-4271-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let T(2) be a flat two-dimensional torus with fundamental cell domain[-1/2, 1/2] x [-1/2, 1/2], h(x) a positive smooth function satisfying the symmetric property (8) on T(2). In this paper we give some sufficient condition under which the mean field equation.u = 16 pi - 16 pi he(u), has a smooth solution.
引用
收藏
页码：2205 / 2211
页数：7
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