Wolff potential estimates for Cheeger p-harmonic functions

被引：4

作者：

Hara, Takanobu ^{[1
]}

机构：

[1] Hokkaido Univ, Dept Math, Kita 8 Nishi 10, Sapporo, Hokkaido 0600808, Japan

来源：

COLLECTANEA MATHEMATICA | 2018年 / 69卷 / 03期

关键词：

Nonlinear elliptic equations; p-Laplacian; Wolff potentials; Metric space; Doubling measure; Poincare inequality; Potential theory; ELLIPTIC-EQUATIONS; SOBOLEV SPACES; SETS;

D O I：

10.1007/s13348-018-0213-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we give a new proof of Wolff potential estimates for Cheeger p-superharmonic functions on metric measure spaces given by Bjorn et al. (J Anal Math 85:339-369, 2001). Also, we extend the estimate to Poisson type equations with signed data.

引用

页码：407 / 426

页数：20

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