Existence of multiple positive solutions for quasilinear elliptic systems involving critical hardy–sobolev exponents and sign-changing weight function

Abstract

In this paper, we consider a class of quasilinear elliptic systems with weights and the nonlinearity involving the critical Hardy–Sobolev exponent and one sign-changing function. The existence and multiplicity results of positive solutions are obtained by variational methods.

Keywords

• multiple positive solutions
• Nehari manifold
• critical Hardy–Sobolev exponent