ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

Authors

Iran, Islamic Republic of

Abstract

In this paper, we consider the existence of a non-trivial weak
solution to a quasilinear elliptic system involving critical Hardy
exponents. The main issue of the paper is to understand the
behavior of these Palais-Smale sequences. Indeed, the principal
difficulty here is that there is an asymptotic competition between
the energy functional carried by the critical nonlinearities. Then
by the variational method, we obtain the existence non-trivial
week solution for the system

Keywords