期刊论文详细信息
Сибирский математический журнал | |
Analogs of the Liouville Property for Harmonic Functions on Unbounded Domains | |
article | |
V. V. Volchkov1  V. V. Volchkov1  | |
[1] Donetsk National University | |
关键词: Liouville property; harmonic function; boundary behavior; | |
DOI : 10.1134/S0037446620040035 | |
学科分类:数学(综合) | |
来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk | |
【 摘 要 】
We obtain some analogs of the Liouville property for the function that is harmonic on the exterior of a Jordan domain $ G\subset{\mathbb{C}} $ and has constant boundary values of the function itself and its normal derivative. We show that these conditions cannot be relaxed in general.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202106300004640ZK.pdf | 174KB | download |