Anisotropic singular logistic equations

Abstract

We consider a parametric Dirichlet problem driven by the anisotropic $(p,q)$-Laplacian and a reaction with a singular term and a superdiffusive logistic perturbation. We prove an existence and nonexistence theorem which is global with respect to the parameter $\lambda\gt 0$.We consider a parametric Dirichlet problem driven by the anisotropic $(p,q)$-Laplacian and a reaction with a singular term and a superdiffusive logistic perturbation. We prove an existence and nonexistence theorem which is global with respect to the parameter $\lambda\gt 0$.