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^*

^*Corresponding author for this work

School of Mathematical Sciences

Jiangxi Normal University

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	English
Pages (from-to)	2945-2964
Number of pages	20
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	38
Issue number	6
DOIs	https://doi.org/10.3934/dcds.2018126
State	Published - Jun 2018

Keywords

Classification
Hardy potential
Isolated singularity

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10.3934/dcds.2018126

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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",

pages = "2945--2964",

journal = "Discrete and Continuous Dynamical Systems- Series A",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "6",

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TY - JOUR

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

Abstract

Keywords

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