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L. A. Peletier and R. C. A. M. van der Vorst, “Existence and Non-Existence of Positive Solutions of Non-Linear Elliptic Systems and the Biharmonic Equation,” Differential and Integral Equations, Vol. 5, No. 4, 1992, pp. 747- 767.

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.