An existence theorem of harmonic functions with polynomial growth

Ding, Yu

doi:10.1090/S0002-9939-03-07060-6

An existence theorem of harmonic functions with polynomial growth
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Proc. Amer. Math. Soc. 132 (2004), 543-551 Request permission

Abstract:

We prove the existence of nonconstant harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature, Euclidean volume growth and unique tangent cone at infinity.

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