A criterion for constantness of harmonic functions on exterior domains
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摘要
Liouville’s classical theorem assures that every harmonic function on the whole space Rn that is moreover bounded from below is a constant. It is easy to observe that, generally, the some result does not hold if we replace the whole space Rn with an exterior domain. In this paper we have obtained a criterion for constantness of harmonic functions defined on exterior domains.
论文关键词:Harmonic functions,Exterior domains
论文评审过程:Available online 6 January 2003.
论文官网地址:https://doi.org/10.1016/S0096-3003(02)00357-0