Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces

被引：12

作者：

Holopainen, Ilkka

Lang, Urs

Vahakangas, Aleksi

机构：

[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

[2] ETH, Dept Math, CH-8092 Zurich, Switzerland

来源：

MATHEMATISCHE ANNALEN | 2007年 / 339卷 / 01期

关键词：

D O I：

10.1007/s00208-007-0108-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic Dirichlet problem for p-harmonic functions in a very general setting of Gromov hyperbolic metric measure spaces.

引用

页码：101 / 134

页数：34

共 50 条

[41] The Neumann and Dirichlet problems for the total variation flow in metric measure spaces
Gorny, Wojciech
Mazon, Jose M.
ADVANCES IN CALCULUS OF VARIATIONS, 2024, 17 (01) : 131 - 164
[42] Schrodinger Harmonic Functions with Morrey Traces on Dirichlet Metric Measure Spaces
Shen, Tianjun
Li, Bo
MATHEMATICS, 2022, 10 (07)
[43] Least Area Planes in Gromov Hyperbolic 3-Spaces with Co-compact Metric
Teruhiko Soma
Geometriae Dedicata, 2005, 112 : 123 - 128
[44] The Dirichlet problem for p-harmonic functions on metric spaces
Björn, A
Björn, J
Shanmugalingam, N
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2003, 556 : 173 - 203
[45] Steiner Problem in the Gromov-Hausdorff Space: The Case of Finite Metric Spaces
Ivanov, A. O.
Nikolaeva, N. K.
Tuzhilin, A. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2019, 304 (Suppl 1) : S88 - S96
[46] The structure of hyperbolic spaces at infinity
Dyubina, AG
Polterovich, IV
RUSSIAN MATHEMATICAL SURVEYS, 1998, 53 (05) : 1093 - 1094
[47] Least area planes in Gromov hyperbolic 3-spaces with co-compact metric
Soma, T
GEOMETRIAE DEDICATA, 2005, 112 (01) : 123 - 128
[48] Existence of variational solutions to a Cauchy–Dirichlet problem with time-dependent boundary data on metric measure spaces
Michael Collins
Collectanea Mathematica, 2021, 72 : 281 - 306
[49] Generalized solution of the double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces
Futamura, Toshihide
Shimomura, Tetsu
HIROSHIMA MATHEMATICAL JOURNAL, 2023, 53 (03) : 359 - 372
[50] The hyperbolic Dirichlet problem
Pavani, R
Talamo, R
MATHEMATICAL AND COMPUTER MODELLING, 2000, 32 (3-4) : 315 - 321

← 1 2 3 4 5 →