Some remarks on the Dirichlet problem on infinite trees

被引：5

作者：

Chalmoukis, Nikolaos ^{[1
]}

Levi, Matteo ^{[1
]}

机构：

[1] Univ Bologna, Bologna, Italy

来源：

CONCRETE OPERATORS | 2019年 / 6卷 / 01期

关键词：

Potential Theory; Discrete Dirichlet Problem; Boundary Values and Capacities;

D O I：

10.1515/conop-2019-0002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Dirichlet problem on infinite and locally finite rooted trees, and we prove that the set of irregular points for continuous data has zero capacity. We also give some uniqueness results for solutions in Sobolev W-1,W-p of the tree.

引用

页码：20 / 32

页数：13

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