Some Liouville theorems and applications
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
We give exposition of a Liouville theorem established in \cite{Li3} which is a novel extension of the classical Liouville theorem for harmonic functions. To illustrate some ideas of the proof of the Liouville theorem, we present a new proof of the classical Liouville theorem for harmonic functions. Applications of the Liouville theorem, as well as that of earlier ones in \cite{Li2}, can be found in \cite{Li3, Li4} and \cite{W}.
Cite
@article{arxiv.math/0609404,
title = {Some Liouville theorems and applications},
author = {YanYan Li},
journal= {arXiv preprint arXiv:math/0609404},
year = {2007}
}