Structure of minimizers of cafarelli-kohn-nirenberg inequality

Jann Long Chern; Chih Her Chen; Gyeongha Hwang

doi:10.2748/tmj.20190917b

Structure of minimizers of cafarelli-kohn-nirenberg inequality

Jann Long Chern, Chih Her Chen, Gyeongha Hwang

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

Abstract

In this article, we are concerned with radial solutions for the best constant of the Cafarelii-Kohn-Nirenberg inequality. Firstly, we classify the radial solutions according to its asymptotic behavior as r-» 0 and r oo. Secondly, we investigate the structure of radial singular solutions. Lastly, we briefly discuss the Neumann problem related to the Cafarelli-Kohn-Nirenberg inequality.

Original language	English
Pages (from-to)	551-567
Number of pages	17
Journal	Tohoku Mathematical Journal
Volume	72
Issue number	4
DOIs	https://doi.org/10.2748/tmj.20190917b
Publication status	Published - 2020 Dec
Externally published	Yes

Keywords

Cafarelli-kohn-nirenberg inequality
Pohozaev identity
Radial solution
Singular solu-tion
The best constant

ASJC Scopus subject areas

General Mathematics

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10.2748/tmj.20190917b

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title = "Structure of minimizers of cafarelli-kohn-nirenberg inequality",

abstract = "In this article, we are concerned with radial solutions for the best constant of the Cafarelii-Kohn-Nirenberg inequality. Firstly, we classify the radial solutions according to its asymptotic behavior as r-» 0 and r oo. Secondly, we investigate the structure of radial singular solutions. Lastly, we briefly discuss the Neumann problem related to the Cafarelli-Kohn-Nirenberg inequality.",

keywords = "Cafarelli-kohn-nirenberg inequality, Pohozaev identity, Radial solution, Singular solu-tion, The best constant",

author = "Chern, {Jann Long} and Chen, {Chih Her} and Gyeongha Hwang",

year = "2020",

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doi = "10.2748/tmj.20190917b",

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volume = "72",

pages = "551--567",

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AU - Chen, Chih Her

AU - Hwang, Gyeongha

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N2 - In this article, we are concerned with radial solutions for the best constant of the Cafarelii-Kohn-Nirenberg inequality. Firstly, we classify the radial solutions according to its asymptotic behavior as r-» 0 and r oo. Secondly, we investigate the structure of radial singular solutions. Lastly, we briefly discuss the Neumann problem related to the Cafarelli-Kohn-Nirenberg inequality.

AB - In this article, we are concerned with radial solutions for the best constant of the Cafarelii-Kohn-Nirenberg inequality. Firstly, we classify the radial solutions according to its asymptotic behavior as r-» 0 and r oo. Secondly, we investigate the structure of radial singular solutions. Lastly, we briefly discuss the Neumann problem related to the Cafarelli-Kohn-Nirenberg inequality.

KW - Cafarelli-kohn-nirenberg inequality

KW - Pohozaev identity

KW - Radial solution

KW - Singular solu-tion

KW - The best constant

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ER -

Structure of minimizers of cafarelli-kohn-nirenberg inequality

Abstract

Keywords

ASJC Scopus subject areas

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