Multiple symmetric results for singular quasilinear elliptic systems with critical homogeneous nonlinearity

Abstract

Communicated by Y. QinThis paper deals with the existence and multiplicity of symmetric solutions for a class of singular quasilinear elliptic systems with critical homogeneous nonlinearity in a bounded symmetric domain. Applying variational methods and the symmetric criticality principle of Palais, we establish several existence and multiplicity results of G-symmetric solutions under some appropriate assumptions on the weighted functions and the parameters.