On the existence of positive solution for a class of singular systems involving quasilinear operators

摘要

In this paper we consider the existence of positive solution for the following class of singular systemswhere is a smooth bounded domain, Δp and Δq are, respectively, the p-Laplacian and q-Laplacian, with p, q > 1, and α1, α2, γ1 and γ2 are positive constants. The main tools used are a result due to Rabinowitz and a Hardy–Sobolev inequality.