On a class of degenerate quasilinear elliptic equations with zero mass

Abstract

Existence of radially symmetric positive solutions for a general class of quasi linear elliptic equations in the zero mass situation is proven. Our results include ground-state solutions for both power-type and exponential-type critical growths in the whole space and the class concerned includes, as particular cases, the Laplace, p-Laplace and k-Hessian operators in radial form.