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Liouville property for $f$-harmonic functions with polynomial growth

Published 13 Oct 2016 in math.DG and math.AP | (1610.03923v3)

Abstract: We prove a Liouville property for any $f$-harmonic function with polynomial growth on a complete noncompact smooth metric measure space $(M,g,e{-f}dv)$ when the Bakry-\'Emery Ricci curvature is nonnegative and its diameter of geodesic sphere has sublinear growth.

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Authors (1)

  1. Jia-yong Wu 

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