Weighted Dirichlet-type inequalities for Steiner symmetrization

被引：29

作者：

Brock, F ^{[1
]}

机构：

[1] Univ Leipzig, Fak Math & Informat, D-04109 Leipzig, Germany

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1999年 / 8卷 / 01期

关键词：

Mathematics Subject Classification (1991):26D10, 51M16, 35J20, 35B99;

D O I：

10.1007/s005260050114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper weighted Dirichlet-type inequalities for Steiner symmetrization are proved. Similar inequalities were known for the so-called starshaped rearrangements. Furthermore it is shown that the Steiner symmetrization is a from W-+(1,1)(R-n) to itself. Mathematics Subject Classification: 26D10, 51M16, 35J20, 35B99.

引用

页码：15 / 25

页数：11