On Hölder Continuity of Solutions to the Beltrami Equations

被引：0

作者：

Ryazanov, V. ^{[1
,2
]}

Salimov, R. ^{[3
]}

Sevost'yanov, E. ^{[4
,5
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Appl Math & Mech, Slavyansk, Donetsk Oblast, Ukraine

[2] B Khmelnytskyi Cherkasy Natl Univ, Cherkassy, Ukraine

[3] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

[4] I Franko Zhytomyr State Univ, Zhytomyr, Ukraine

[5] Natl Acad Sci Ukraine, Inst Appl Math & Mech, Slavyansk, Donetsk Oblast, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2023年 / 75卷 / 04期

关键词：

D O I：

10.1007/s11253-023-02218-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the problem of local behavior of solutions to the Beltrami equations in arbitrary domains and establish sufficient conditions for the complex coefficient of the Beltrami equation guaranteeing the existence of its Holder-continuous solution in an arbitrary domain. These results can be used both for the investigation of boundary-value problems for the Beltrami equation and in the problems of hydromechanics of strongly anisotropic and inhomogeneous media.

引用

页码：586 / 599

页数：14

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