Regularity and symmetry of positive solutions to nonlinear integral systems

In this article, we consider the regularity and symmetry of positive solutions to the nonlinear integral system $$ u(x)=int_{mathbb{R}^n}K_{alpha}(x-y)frac{v(y)^q}{|y|^eta},dy, quad v(x)=int_{mathbb{R}^n}K_{alpha}(x-y)frac{u(y)^p}{|y|^eta},dy $$ for $xin mathbb{R}^n$, where $K_alpha(x)$ is th...

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Bibliographic Details
Main Authors: Wanghe Yao, Xiaoli Chen, Jianfu Yang
Format: Article
Language:English
Published: Texas State University 2011-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/161/abstr.html