Variational problem of some quadratic functionals in complex analysis

被引：74

作者：

Rassias, TM

Shibata, K

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

[2] Int Inst Nat Sci, Kurashiki, Okayama 7100821, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 228卷 / 01期

关键词：

Riemann surface; harmonic mapping;

D O I：

10.1006/jmaa.1998.6129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose we are given a pair of marked closed Riemann surfaces S, T with the same genus. We minimize the modified Dirichlet integral for mappings of S onto T, which is endowed with some weight in terms of conformal metric on the target surface T. In this paper, it is demonstrated that the minimal harmonic map exists, and it proves to be Teichmuller. (C) 1998 Academic Press.

引用

页码：234 / 253

页数：20

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