EXTREMALS OF FUNCTIONALS WITH COMPETING SYMMETRIES

被引：97

作者：

CARLEN, EA ^{[1
]}

LOSS, M ^{[1
]}

机构：

[1] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 88卷 / 02期

关键词：

D O I：

10.1016/0022-1236(90)90114-Z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new method of producing optimizing sequences for highly symmetric functionals. The sequences have good convergence properties built in. We apply the method in different settings to give elementary proofs of some classical inequalities-such as the Hardy-Littlewood-Sobolev and the logarithmic Sobolev inequality-in their sharp form. © 1990.

引用

页码：437 / 456

页数：20

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