Liouville-Type Theorems for Some Integral Systems

Zhengce Zhang

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DOI: 10.4236/am.2010.12012                

Abstract

In this paper, Liouville-type theorems of nonnegative solutions for some elliptic integral systems are considered. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality instead of Maximum Principle.

Keywords

Liouville Theorem, Integral System, Moving Plane Method

Conflicts of Interest

The authors declare no conflicts of interest.

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