Proof of Caffarelli-Kohn-Nirenberg inequality(Caffarelli-Kohn-Nirenberg不等式的证明)

Proof of Caffarelli-Kohn-Nirenberg inequality(Caffarelli-Kohn-Nirenberg不等式的证明)

先用函数表示和Picone恒等式的方法建立高维欧氏空间的一类Hardy型不等式，结合CAFFARELLI、KOHN、NIRENBERG三人证明Caffarelli-Kohn-Nirenberg不等式的思想，给出Caffarelli-Kohn-Nirenberg不等式的证明，突破原文需转化为一维情形的限制，对高维空间的情形直接证明，易于推广....

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Bibliographic Details
Main Authors:	HANYa-zhou(韩亚洲), ZHANGShu-tao(张书陶)
Format:	Article
Language:	zho
Published:	Zhejiang University Press 2007-09-01
Series:	Zhejiang Daxue xuebao. Lixue ban
Subjects:	caffarelli-kohn-nirenberg不等式 hardy型不等式函数表示 picone恒等式
Online Access:	https://doi.org/zjup/1008-9497.2007.34.5.492-498

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