LIOUVILLE PROPERTY FOR <i>f</i>-HARMONIC FUNCTIONS WITH POLYNOMIAL GROWTH
نویسندگان
چکیده
منابع مشابه
Harmonic Functions with Polynomial Growth
Twenty years ago Yau generalized the classical Liouville theo rem of complex analysis to open manifolds with nonnegative Ricci curva ture Speci cally he proved that a positive harmonic function on such a manifold must be constant This theorem of Yau was considerably generalized by Cheng Yau see by means of a gradient estimate which implies the Harnack inequality As a consequence of this gradien...
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2019
ISSN: 1340-6116,1883-2032
DOI: 10.2206/kyushujm.73.229