Article ID Journal Published Year Pages File Type
4615250 Journal of Mathematical Analysis and Applications 2015 13 Pages PDF
Abstract

In this paper, we investigate some properties of positive solutions for a nonlinear integral system. Using the method of moving planes in an integral form, which was recently introduced by Chen, Li, and Ou in Chen et al. (2005, 2006) [2] and [3], we show that all positive solutions of the integral system in certain functional spaces are radially symmetric with respect to the origin and decreasing in critical space. Furthermore, with the help of regularity lifting lemma, we obtain the optimal integrable intervals and the asymptotic estimates for such solutions around the origin and near infinity.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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