Yehuda Pinchover, Achilles Tertikas, Kyril Tintarev
Published 2006-09-05, updated 2007-02-04Version 2
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.
Comments: 20 pages, some examples and remarks were added, few misprints were corrected
A Liouville-type theorem for Schrödinger operators
Orbital stability and uniqueness of the ground state for NLS in dimension one
The $L^{2}$ sequential convergence of a solution to the mass-critical NLS above the ground state
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