Liouville-Type Theorems for Some Integral Systems - Applied Mathematics

AM > Vol.1 No.2, July 2010

Liouville-Type Theorems for Some Integral Systems ()

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DOI: 10.4236/am.2010.12012 7,149 Downloads 11,170 Views Citations

Author(s)

Zhengce Zhang

Affiliation(s)

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

Share and Cite:

Z. Zhang, "Liouville-Type Theorems for Some Integral Systems," Applied Mathematics, Vol. 1 No. 2, 2010, pp. 94-100. doi: 10.4236/am.2010.12012.

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