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
72
發行號4
DOIs
出版狀態已發佈 - 2020 12月
對外發佈

ASJC Scopus subject areas

  • 數學(全部)

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