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arXiv 2014-01-29 0 views

A Liouville Theorem for the Fractional Laplacian

Zhuo, Ran · Chen, Wenxiong · Cui, Xuewei · Yuan, Zixia

Original · EN

We extend the classical Liouville Theorem from Laplacian to the fractional Laplacian, that is, we prove Every α-harmonic function bounded either above or below in all of Rⁿ must be constant.

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