A hardy inequality with remainder terms in the heisenberg group and the weighted eigenvalue problem

被引：10

作者：

Dou, Jingbo ^{[1
]}

Niu, Pengcheng ^{[1
]}

Yuan, Zixia ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2007年

关键词：

ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

10.1155/2007/32585

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities are determined. Then we discuss the existence of solutions for the nonlinear eigenvalue problems in the Heisenberg group with weights for the p-sub-Laplacian. The asymptotic behaviour, simplicity, and isolation of the first eigenvalue are also considered. Copyright (C) 2007.

引用

页数：24

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