A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem

<p/> <p>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...

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Bibliographic Details
Main Authors: Dou Jingbo, Niu Pengcheng, Yuan Zixia
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2007/032585