SOLUTIONS OF NONHOMOGENEOUS EQUATIONS INVOLVING HARDY POTENTIALS WITH SINGULARITIES ON THE BOUNDARY

Huyuan Chen; Alexander Quaas; Feng Zhou

SOLUTIONS OF NONHOMOGENEOUS EQUATIONS INVOLVING HARDY POTENTIALS WITH SINGULARITIES ON THE BOUNDARY

Huyuan Chen
, Alexander Quaas
, Feng Zhou

数学科学学院

Jiangxi Normal University
Universidad Técnica Federico Santa Maria

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we present a new distributional identity for the solutions of elliptic equations involving Hardy potentials with singularities located on the boundary of the domain. Then we use it to obtain the boundary isolated singular solutions of nonhomogeneous problems.

源语言	英语
页（从-至）	899-924
页数	26
期刊	Pure and Applied Functional Analysis
卷	5
期	4
出版状态	已出版 - 2020

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title = "SOLUTIONS OF NONHOMOGENEOUS EQUATIONS INVOLVING HARDY POTENTIALS WITH SINGULARITIES ON THE BOUNDARY",

abstract = "In this paper, we present a new distributional identity for the solutions of elliptic equations involving Hardy potentials with singularities located on the boundary of the domain. Then we use it to obtain the boundary isolated singular solutions of nonhomogeneous problems.",

keywords = "Boundary isolated singularity, Distributional identity, Hardy potential",

author = "Huyuan Chen and Alexander Quaas and Feng Zhou",

year = "2020",

language = "英语",

volume = "5",

pages = "899--924",

journal = "Pure and Applied Functional Analysis",

issn = "2189-3756",

publisher = "Yokohama Publications",

number = "4",

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TY - JOUR

T1 - SOLUTIONS OF NONHOMOGENEOUS EQUATIONS INVOLVING HARDY POTENTIALS WITH SINGULARITIES ON THE BOUNDARY

AU - Chen, Huyuan

AU - Quaas, Alexander

AU - Zhou, Feng

PY - 2020

Y1 - 2020

N2 - In this paper, we present a new distributional identity for the solutions of elliptic equations involving Hardy potentials with singularities located on the boundary of the domain. Then we use it to obtain the boundary isolated singular solutions of nonhomogeneous problems.

AB - In this paper, we present a new distributional identity for the solutions of elliptic equations involving Hardy potentials with singularities located on the boundary of the domain. Then we use it to obtain the boundary isolated singular solutions of nonhomogeneous problems.

KW - Boundary isolated singularity

KW - Distributional identity

KW - Hardy potential

UR - https://www.scopus.com/pages/publications/85142812956

M3 - 文章

AN - SCOPUS:85142812956

SN - 2189-3756

VL - 5

SP - 899

EP - 924

JO - Pure and Applied Functional Analysis

JF - Pure and Applied Functional Analysis

IS - 4

ER -

SOLUTIONS OF NONHOMOGENEOUS EQUATIONS INVOLVING HARDY POTENTIALS WITH SINGULARITIES ON THE BOUNDARY

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