On the Interaction of Boundary Singular Points in the Dirichlet Problem for an Elliptic Equation with Piecewise Constant Coefficients in a Plane Domain


如何引用文章

全文:

开放存取 开放存取
受限制的访问 ##reader.subscriptionAccessGranted##
受限制的访问 订阅存取

详细

For an elliptic equation in divergent form with a discontinuous scalar piecewise constant coefficient in an unbounded domain \(\Omega \subset {{\mathbb{R}}^{2}}\) with a piecewise smooth noncompact boundary and smooth discontinuity lines of the coefficient, the \({{L}_{p}}\)-interaction of a finite and an infinite singular points of a weak solution to the Dirichlet problem is studied in a class of functions with the first derivatives from \({{L}_{p}}(\Omega )\) in the entire range of the exponent \(p \in (1,\infty )\).

作者简介

A. Bogovskii

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

编辑信件的主要联系方式.
Email: abogovski@gmail.com
俄罗斯联邦, Moscow, 119991

V. Denisov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

编辑信件的主要联系方式.
Email: vdenisov2008@yandex.ru
俄罗斯联邦, Moscow, 119991

补充文件

附件文件
动作
1. JATS XML

版权所有 © Pleiades Publishing, Ltd., 2019