科研之友
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摘要
In our paper, we prove that if the positive part u (+)(x) of a harmonic function u(x) in a half space satisfies the condition of slow growth, then its negative part u (-) (x) can also be dominated by a similar growth condition. Moreover, we give an integral representation of the function u(x). Further, a solution of the Dirichlet problem in the half space for a rapidly growing continuous boundary function is constructed by using the generalized Poisson integral with this boundary function.
- 出版日期2015-3
- 单位河南财经政法大学
