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arXiv:1401.7402 [math.AP]AbstractReferencesReviewsResources

A Liouville Theorem for the Fractional Laplacian

Ran Zhuo, Wenxiong Chen, Xuewei Cui, Zixia Yuan

Published 2014-01-29Version 1

We extend the classical Liouville Theorem from Laplacian to the fractional Laplacian, that is, we prove Every $\alpha$-harmonic function bounded either above or below in all of $R^n$ must be constant.

Comments: 14 pages
Categories: math.AP
Subjects: 35J61, 35S05, 45K05
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