DIRICHLET PROBLEM FOR FUNCTIONS THAT ARE HARMONIC ON A TWO-DIMENSIONAL NET

L. A. Kovaleva; A. P. Soldatov

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DIRICHLET PROBLEM FOR FUNCTIONS THAT ARE HARMONIC ON A TWO-DIMENSIONAL NET

机译：用于二维网上谐波的功能的Dirichlet问题

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摘要

In this paper, we consider the Dirichlet problem for harmonic functions on a two-dimensional complex of a special type. We prove that this problem is a Fredholm problem in the HÃ¶lder class and its index is zero.

机译：在本文中，我们考虑了在特殊类型的二维复合物上的谐波函数的Dirichlet问题。我们证明了这个问题是HÃ¸LDER类中的Fredholm问题，其索引为零。

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来源
《Journal of Mathematical Sciences》 |2021年第1期|41-47|共7页
作者
L. A. Kovaleva; A. P. Soldatov;
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作者单位

I. D. Putilin Belgorod Law Institute of the Ministry of Internal Affairs of the Russian Federation;

A. A. Dorodnitsyn Computing Center of the Russian Academy of Sciences;

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原文格式 PDF
正文语种 eng
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关键词
two-dimensional complex; Fredholm property; index; HÃ¶lder space; harmonic function; 35J05; 35J25;

机译：二维复杂;Fredholm属性;索引;HÃ¤lder空间;谐波函数;35J05;35J25;

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DIRICHLET PROBLEM FOR FUNCTIONS THAT ARE HARMONIC ON A TWO-DIMENSIONAL NET

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