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:
Online Access:https://doi.org/zjup/1008-9497.2007.34.5.492-498