A Liouville-type theorem for the p-Laplacian with potential term
Yehuda Pinchover, Achilles Tertikas, Kyril Tintarev · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2007
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.