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In this paper, we investigate the quasilinear elliptic equations involving multiple critical Sobolev–Hardy terms with Dirichlet boundary conditions on bounded smooth domains Ω⊂RN$\varOmega \subset R^{N}$ (N≥3${N \ge 3} $), and prove the multiplicity of positive solutions by employing Ekeland’s variational principle and the maximum principle.

Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms