A Liouville-type theorem for the p-Laplacian with potential term
Analysis of PDEs
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0609126,
title = {A Liouville-type theorem for the p-Laplacian with potential term},
author = {Yehuda Pinchover and Achilles Tertikas and Kyril Tintarev},
journal= {arXiv preprint arXiv:math/0609126},
year = {2007}
}
Comments
20 pages, some examples and remarks were added, few misprints were corrected