Singular Anisotropic Problems with Competition Phenomena

Abstract We consider a Dirichlet problem driven by the anisotropic ( p z ), q ))-Laplacian, with parametric reaction exhibiting combined effects of singular and concave-convex nonlinearities. The superlinear term may change sign. Using variational tools together truncation comparison techniques, we prove global (for parameter $$\lambda >0$$ λ > 0 ) existence multiplicity theorem (a bifurcation-type theorem).