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

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

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.

原文	英語
頁（從 - 到）	551-567
頁數	17
期刊	Tohoku Mathematical Journal
卷	72
發行號	4
DOIs	https://doi.org/10.2748/tmj.20190917b
出版狀態	已發佈 - 2020 12月
對外發佈	是

ASJC Scopus subject areas

一般數學

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10.2748/tmj.20190917b

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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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AU - Hwang, Gyeongha

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KW - Cafarelli-kohn-nirenberg inequality

KW - Pohozaev identity

KW - Radial solution

KW - Singular solu-tion

KW - The best constant

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Structure of minimizers of cafarelli-kohn-nirenberg inequality

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