A Liouville-type theorem for the p-Laplacian with potential term

Abstract

In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state. Unlike in the linear case (p=2), this condition involves comparison of both the functions and of their gradients.Comment: 20 pages, some examples and remarks were added, few misprints were correcte