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An existence theorem of harmonic functions with polynomial growth
Author(s):
Yu
Ding
Journal:
Proc. Amer. Math. Soc.
132
(2004),
543-551.
MSC (2000):
Primary 53C21, 53C23
Posted:
June 12, 2003
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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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Additional Information:
Yu
Ding
Affiliation:
Department of Mathematics, University of California, Irvine, California 92697
Email:
yding@math.uci.edu
DOI:
10.1090/S0002-9939-03-07060-6
PII:
S 0002-9939(03)07060-6
Received by editor(s):
September 11, 2002
Received by editor(s) in revised form:
October 8, 2002
Posted:
June 12, 2003
Communicated by:
Richard A. Wentworth
Copyright of article:
Copyright
2003,
American Mathematical Society
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