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A singular eigenvalue problem for the Dirichlet (p, q)-Laplacian

A singular eigenvalue problem for the Dirichlet (p, q)-Laplacian

Abstract We consider a parametric nonlinear, nonhomogeneous Dirichlet problem driven by the ( p , q )-Laplacian with a reaction involving a singular term plus a superlinear reaction which does not satisfy the Ambrosetti–Rabinowitz condition. The main goal of the paper is to look for positive solutions and our approach …