Properties of solutions to semilinear elliptic problem with Hardy potential

Jann Long Chern; Masato Hashizume; Gyeongha Hwang

doi:10.1016/j.jde.2020.01.009

Properties of solutions to semilinear elliptic problem with Hardy potential

Jann Long Chern
, Masato Hashizume
, Gyeongha Hwang^*

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

1 引文斯高帕斯（Scopus）

摘要

We consider the following nonlinear Neumann problem [Formula presented] where [Formula presented], 0<s<2, [Formula presented] and B_R is the ball centered at the origin with radius R. Firstly, we establish the existence of infinitely many positive radial solutions which are singular at the origin. Secondly, we investigate the existence and regularity of a least-energy solution. Lastly, we study the symmetric properties of a regular least-energy solution.

原文	英語
頁（從 - 到）	1432-1464
頁數	33
期刊	Journal of Differential Equations
卷	269
發行號	2
DOIs	https://doi.org/10.1016/j.jde.2020.01.009
出版狀態	已發佈 - 2020 7月 5
對外發佈	是

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10.1016/j.jde.2020.01.009

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title = "Properties of solutions to semilinear elliptic problem with Hardy potential",

abstract = "We consider the following nonlinear Neumann problem [Formula presented] where [Formula presented], 0R is the ball centered at the origin with radius R. Firstly, we establish the existence of infinitely many positive radial solutions which are singular at the origin. Secondly, we investigate the existence and regularity of a least-energy solution. Lastly, we study the symmetric properties of a regular least-energy solution.",

keywords = "Existence, Hardy potential, Neumann problem, Semilinear elliptic equation, Symmetric properties",

author = "Chern, \{Jann Long\} and Masato Hashizume and Gyeongha Hwang",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

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doi = "10.1016/j.jde.2020.01.009",

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T1 - Properties of solutions to semilinear elliptic problem with Hardy potential

AU - Chern, Jann Long

AU - Hashizume, Masato

AU - Hwang, Gyeongha

PY - 2020/7/5

Y1 - 2020/7/5

N2 - We consider the following nonlinear Neumann problem [Formula presented] where [Formula presented], 0R is the ball centered at the origin with radius R. Firstly, we establish the existence of infinitely many positive radial solutions which are singular at the origin. Secondly, we investigate the existence and regularity of a least-energy solution. Lastly, we study the symmetric properties of a regular least-energy solution.

AB - We consider the following nonlinear Neumann problem [Formula presented] where [Formula presented], 0R is the ball centered at the origin with radius R. Firstly, we establish the existence of infinitely many positive radial solutions which are singular at the origin. Secondly, we investigate the existence and regularity of a least-energy solution. Lastly, we study the symmetric properties of a regular least-energy solution.

KW - Existence

KW - Hardy potential

KW - Neumann problem

KW - Semilinear elliptic equation

KW - Symmetric properties

UR - https://www.scopus.com/pages/publications/85077980605

UR - https://www.scopus.com/pages/publications/85077980605#tab=citedBy

U2 - 10.1016/j.jde.2020.01.009

DO - 10.1016/j.jde.2020.01.009

M3 - Article

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VL - 269

SP - 1432

EP - 1464

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Properties of solutions to semilinear elliptic problem with Hardy potential

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