EQUILIBRIUM MAPS BETWEEN METRIC-SPACES

被引：135

作者：

JOST, J ^{[1
]}

机构：

[1] RUHR UNIV BOCHUM,FAK MATH,D-44780 BOCHUM,GERMANY

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1994年 / 2卷 / 02期

关键词：

D O I：

10.1007/BF01191341

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the existence of harmonic mappings with values in possibly singular and not necessarily locally compact complete metric length spaces of nonpositive curvature in the sense of Alexandrov. As a technical tool, we show that any bounded sequence in such a space has a subsequence whose mean values converge. We also give a general definition of harmonic maps between metric spaces based on mean value properties and GAMMA-convergence.

引用

页码：173 / 204

页数：32

共 26 条

[1]

Alber S.I., 1964, SOV MATH DOKL, V5, P700

[2]

Alber SI., 1967, SOV MATH DOKL, V9, P6

[3]

Alexander S., 1990, ENSEIGN MATH, V36, P309

[4]

BETHUEL F, GINZBURG LANDAU VORT

[5] DIRICHLET SPACES [J].

BEURLING, A ;

DENY, J .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1959, 45 (02) :208-215

[6] Partial differential equations of mathematical physics [J].

Courant, R ;

Friedrichs, K ;

Lewy, H .

MATHEMATISCHE ANNALEN, 1928, 100 :32-74

[7]

Dal Maso G., 1993, NONLINEAR DIFFERENTI

[8] HARMONIC-MAPPINGS AND DISK BUNDLES OVER COMPACT KAHLER-MANIFOLDS [J].

DIEDERICH, K ;

OHSAWA, T .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1985, 21 (04) :819-833

[9]

DONALDSON SK, 1987, P LOND MATH SOC, V55, P127

[10]

ELLS J, 1964, AM J MATH, V85, P109

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