E. Lieb, “Sharp Constants in the Hardy-Littlewood- Sobolev and Related Inequalities,” Annals of Mathematics, Vol. 118, 1983, pp. 349-374.
has been cited by the following article:
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.