The existence of solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms

In this paper, we investigate the quasilinear elliptic equations with Dirichlet boundary conditions and combined critical Sobolev–Hardy terms on bounded smooth domains Ω ⊂ R N ( N ⩾ 3 ) , and prove the existence and multiplicity of solutions by employing Ekelandʼs variational principle.