Sib. Mat. Zh.
 2020
DOI: 10.33048/smzh.2020.61.403
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Аналоги Свойства Лиувилля Для Гармонических Функций На Неограниченных Областях

V. V. Volchkov1,
V. V. Volchkov2

Abstract: Аннотация. Получены аналоги свойства Лиувилля для функций, гармонических на внешности жордановой области G ⊂ C и имеющих постоянные граничные значения для самой функции и ее нормальной производной. Показано, что в общем случае указанные условия ослабить нельзя.

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