TITLE:
Liouville-Type Theorems for Some Integral Systems
AUTHORS:
Zhengce Zhang
KEYWORDS:
Liouville Theorem, Integral System, Moving Plane Method
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.2,
July
22,
2010
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.