Uniqueness of Nonnegative Solutions to Elliptic Differential Inequalities on Finsler Manifolds

被引：0

作者：

Xiong, Changwei ^{[1
]}

机构：

[1] Australian Natl Univ, Math Sci Inst, Canberra, ACT 2601, Australia

来源：

POTENTIAL ANALYSIS | 2020年 / 53卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

Uniqueness of nonnegative solutions; Elliptic differential inequality; Finsler measure space; LIOUVILLE THEOREMS; POSITIVE SOLUTIONS; NONEXISTENCE; FLOW;

D O I：

10.1007/s11118-019-09801-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of elliptic differential inequalities involving Finsler p-Laplacian and a positive potential function on forward geodesically complete noncompact Finsler measure spaces with finite reversibility. Under various volume growth conditions concerning geodesic balls with a given center and the potential function, we prove that the only nonnegative weak solution of the differential inequalities is identically zero.

引用

页码：1145 / 1163

页数：19

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