Singular Dirichlet (p, q)-Equations

Abstract We consider a nonlinear Dirichlet problem driven by the ( p , q )-Laplacian and with reaction having combined effects of singular term parametric $$(p-1)$$ (p-1) -superlinear perturbation. prove bifurcation-type result describing changes in set positive solutions as parameter $$\lambda >0$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">λ>0 varies. Moreover, we existence minimal solution $$u^*_\lambda $$ xmlns:mml="http://www.w3.org/1998/Math/MathML">uλ∗ study monotonicity continuity properties map \rightarrow u^*_\lambda xmlns:mml="http://www.w3.org/1998/Math/MathML">λ→uλ∗ .