Double critical surfaces of singular quasilinear elliptic systems

Abstract

In this paper, we mainly study the asymptotic behaviors at the origin and infinity of positive weak solutions to quasilinear elliptic systems in RN, which involve strongly–coupled critical nonlinearities and different Hardy–type terms. One critical surface is found, above and below which the asymptotic properties at the origin of solutions are different. Another critical surface is also found, above and below which the asymptotic properties at the infinity of solutions are different. The conclusions are new even in the case of p=2.