A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials

Abstract

. In this paper, a system of quasilinear elliptic equations is investigated, which involves multiple critical Hardy-Sobolev exponents and symmetric multi-polar potentials. By employing the variational methods and analytic techniques, the relevant best constants are studied and the existence of ( Z k × SO ( N − 2 )) 2 -invariant solutions to the system is established.