Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
LIOUVILLE PROPERTY FOR f-HARMONIC FUNCTIONS WITH POLYNOMIAL GROWTH
Jia-Yong WU
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2019 Volume 73 Issue 2 Pages 229-238

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Abstract

We prove a Liouville property for any f-harmonic function with polynomial growth on a complete non-compact smooth metric measure space (M, g, e -f dv) when the Bakry-Émery Ricci curvature is non-negative and the diameter of its geodesic sphere has sublinear growth.

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© 2019 Faculty of Mathematics, Kyushu University
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