Isolated singularities for elliptic equations with hardy operator and source nonlinearity

Huyuan Chen; Feng Zhou

doi:10.3934/dcds.2018126

Isolated singularities for elliptic equations with hardy operator and source nonlinearity

Huyuan Chen
, Feng Zhou^*

^*此作品的通讯作者

数学科学学院

Jiangxi Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

20 引用（Scopus）

摘要

In this paper, we concern the isolated singular solutions for semilinear elliptic equations involving Hardy-Leray potential (Formula presented) We classify the isolated singularities and obtain the existence and stability of positive solutions of (1). Our results are based on the study of nonhomogeneous Hardy problem in a new distributional sense.

源语言	英语
页（从-至）	2945-2964
页数	20
期刊	Discrete and Continuous Dynamical Systems- Series A
卷	38
期	6
DOI	https://doi.org/10.3934/dcds.2018126
出版状态	已出版 - 6月 2018

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title = "Isolated singularities for elliptic equations with hardy operator and source nonlinearity",

abstract = "In this paper, we concern the isolated singular solutions for semilinear elliptic equations involving Hardy-Leray potential (Formula presented) We classify the isolated singularities and obtain the existence and stability of positive solutions of (1). Our results are based on the study of nonhomogeneous Hardy problem in a new distributional sense.",

keywords = "Classification, Hardy potential, Isolated singularity",

author = "Huyuan Chen and Feng Zhou",

year = "2018",

month = jun,

doi = "10.3934/dcds.2018126",

language = "英语",

volume = "38",

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T1 - Isolated singularities for elliptic equations with hardy operator and source nonlinearity

AU - Chen, Huyuan

AU - Zhou, Feng

PY - 2018/6

Y1 - 2018/6

N2 - In this paper, we concern the isolated singular solutions for semilinear elliptic equations involving Hardy-Leray potential (Formula presented) We classify the isolated singularities and obtain the existence and stability of positive solutions of (1). Our results are based on the study of nonhomogeneous Hardy problem in a new distributional sense.

AB - In this paper, we concern the isolated singular solutions for semilinear elliptic equations involving Hardy-Leray potential (Formula presented) We classify the isolated singularities and obtain the existence and stability of positive solutions of (1). Our results are based on the study of nonhomogeneous Hardy problem in a new distributional sense.

KW - Classification

KW - Hardy potential

KW - Isolated singularity

UR - https://www.scopus.com/pages/publications/85046423653

U2 - 10.3934/dcds.2018126

DO - 10.3934/dcds.2018126

M3 - 文章

AN - SCOPUS:85046423653

SN - 1078-0947

VL - 38

SP - 2945

EP - 2964

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 6

ER -

Isolated singularities for elliptic equations with hardy operator and source nonlinearity

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