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

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

2006-09-05

arxiv.org/abs/math/0609126v2

Mathematics

Analysis of PDEs

20 pages, some examples and remarks were added, few misprints were corrected

Scientific paper

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.

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