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关于拟调和映射的一些注记
引用本文:许德良,周春琴. 关于拟调和映射的一些注记[J]. 高校应用数学学报(英文版), 2002, 17(2): 164-170. DOI: 10.1007/s11766-002-0040-8
作者姓名:许德良  周春琴
作者单位:DeptofAppl.Math.,ShanghaiJiaotongUniv.,Shanghai200030
摘    要:Several theorems on the finiteness of energy for quasi-harmonic spheres are proved,some counter-examples which state that the energy of quasi-harmonic sphere may be infinite are given. The results support some conditions of a question posed by Lin Fanghua and Wang Changyou.

关 键 词:调和映射 拟调和 准能量 定理 单调性
收稿时间:2001-01-17

A remark on the quasi-harmonic spheres
Deliang Xu,Chunqin Zhou. A remark on the quasi-harmonic spheres[J]. Applied Mathematics A Journal of Chinese Universities, 2002, 17(2): 164-170. DOI: 10.1007/s11766-002-0040-8
Authors:Deliang Xu  Chunqin Zhou
Affiliation:Shanghai Jiaotong Univ., Shanghai 200030;Shanghai Jiaotong Univ., Shanghai 200030
Abstract:Several theorems on the finiteness of energy for quasi- harmonic spheres are proved, some counter- examples which state thatthe energy of quasi- harmonic sphere may be infinite are given.The results support some conditions of a question posed by Lin Fanghua and Wang Changyou.
Keywords:quasi- harmonic sphere  harmonic map  quasi- energy  regular neighborhood.
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