Symmetrization and second-order Sobolev inequalities

被引：38

作者：

Cianchi, Andrea ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat & Applicazioni Architettura, I-50122 Florence, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2004年 / 183卷 / 01期

关键词：

Polya-Szego principle; Sobolev inequalities; rearrangements;

D O I：

10.1007/s10231-003-0080-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Polya-Szego principle for second-order derivatives is established. As a consequence, a new unified approach to second-order Sobolev-type inequalities, via 1-dimensional inequalities, is derived. Applications to some optimal Sobolev embeddings are exhibited.

引用

页码：45 / 77

页数：33

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