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Sharp local embedding inequalities
Author(s) -
Li Junfang,
Zhu Meijun
Publication year - 2006
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20107
Subject(s) - mathematics , embedding , inequality , calculus (dental) , pure mathematics , mathematical analysis , artificial intelligence , orthodontics , computer science , medicine
In this paper we establish local versions of the Onofri and sharp Sobolev inequalities. Such local inequalities enable us to give a more direct and simpler proof of the Onofri inequality on 2 , as well as an alternative proof of sharp Sobolev inequalities on n (for n ≥ 3). © 2005 Wiley Periodicals, Inc.