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arXiv:math/0609404 [math.AP]AbstractReferencesReviewsResources

Some Liouville theorems and applications

YanYan Li

Published 2006-09-14Version 1

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}.

Categories: math.AP, math.DG
Subjects: 35J69, 58J05
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