Anisotropic Singular Neumann Equations with Unbalanced Growth

We consider a nonlinear parametric Neumann problem driven by the anisotropic $(p,q)$-Laplacian and reaction which exhibits combined effects of singular term superlinear perturbation. are looking for positive solutions. Using combination topological variational tools together with suitable truncation comparison techniques, we prove bifurcation-type result describing set solutions as parameter $\lambda$ varies. also show existence minimal $u_\lambda^*$ determine monotonicity continuity properties map $\lambda\mapsto u_\lambda^*$.