Liouville-type theorems for elliptic inequalities involving the Δ_λ-Laplace operator

Abstract

We establish Liouville-type theorems for the elliptic system of inequalitiesHere satisfy some growth conditions, and is the strongly degenerate operator of the formwhere satisfies some certain conditions. As a direct consequence, we also obtain the Liouville-type theorem for the following elliptic inequality