%0 Journal Article
%T Qualitative Properties of Solutions for an Integral Equation
%A Wenxiong Chen
%A Congming Li
%A Biao Ou
%J Mathematics
%D 2003
%I arXiv
%X Let $n$ be a positive integer and let $0 < \alpha < n.$ In this paper, we continue our study of the integral equation $$ u(x) = \int_{R^{n}} \frac{u(y)^{(n+\alpha)(n-\alpha)}{|x - y|^{n-\alpha}}dy.$$ We mainly consider singular solutions in subcritical, critical, and super critical cases, and obtain qualitative properties, such as radial symmetry, monotonicity, and upper bounds for the solutions.
%U http://arxiv.org/abs/math/0307262v1