Decay rates for solutions of an integral system of Wolff type (Q645037)

This paper is concerned with an integral system involving the Wolf potentials. For certain values of \(p\) and \(u\) (involved in the equation) the equation reduces to a single integral equation, which, for certain values of some parameters, reduces to the Riesz potential. The author studies the asymptotic behaviour of the positive solutions of a certain system involving the Wolf potential in \(n\)-dimensional Euclidean space, for which the decay rates near infinity are obtained. The decay rates of the positive solution of the Hardy-Littlewood-Sobolev type integral system are also established.