Nonlinear, degenerate and singular eigenvalue problems on RNRN

The goal of this paper is to establish the existence of a continuous family of eigenvalues lying in a neighborhood at the right of the origin for some nonlinear, nonhomogeneous, degenerate and singular elliptic operators on the whole space RNRN. Our proofs rely essentially on the Caffarelli–Kohn–Nirenberg inequality combined with the Banach fixed point theorem.