INFINITE-GRAPHS WITH NONCONSTANT DIRICHLET FINITE HARMONIC-FUNCTIONS

被引：16

作者：

CARTWRIGHT, DI ^{[1
]}

WOESS, W ^{[1
]}

机构：

[1] UNIV MILAN,DIPARTIMENTO MATEMAT,I-20133 MILAN,ITALY

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 1992年 / 5卷 / 03期

关键词：

HARMONIC FUNCTIONS ON GRAPHS; UNIQUENESS OF CURRENTS; DIRICHLET SUM;

D O I：

10.1137/0405029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of infinite graphs that can be embedded uniformly in the hyperbolic plane and carry nonconstant harmonic functions with finite Dirichlet sum is exhibited. In fact, a general method of constructing such harmonic functions "with prescribed boundary values" is provided.

引用

页码：380 / 385

页数：6

共 16 条

[1]

Ahlfors L.V., 1960, PRINCETON MATH SER, V26

[2]

ANCONA A, 1988, LECT NOTES MATH, V1344, P1

[3]

[Anonymous], 1984, GEOMETRIAE DEDICATA, DOI 10.1007/BF00146825

[4]

Beardon A. F., 1983, GEOMETRY DISCRETE GR, V91