Boundary-Value Problem for Nonuniformly Elliptic Equations with Power Singularities

被引：0

作者：

Luste I.P. ^{[1
]}

Pukal’s’kyi I.D. ^{[1
]}

机构：

[1] Yu. Fedkovych Chernivtsi National University, Chernivtsi

来源：

Journal of Mathematical Sciences | 2024年 / 278卷 / 5期

关键词：

Arzelà; theorem; Borel measure; boundary-value problem; Hölder spaces; interpolation inequalities; power singularities; Riesz theorem;

D O I：

10.1007/s10958-024-06959-8

中图分类号：

学科分类号：

摘要：

By using a priori estimates and the Riesz theorem, we investigate a boundary-value problem for nonuniformly 2b -elliptic equations with arbitrary power singularities in the coefficients of the equation and boundary conditions on a certain set of points. We establish the existence and obtain an integral representation of the unique solution of the formulated boundary-value problem in Hölder spaces with power weights whose order is determined via the orders of singularities in the coefficients of the equation and boundary conditions. © Springer Nature Switzerland AG 2024.

引用

页码：748 / 760

页数：12

共 11 条

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