Home
Recent Issues
Volume 53	1
Volume 52	1	2	3	4
Volume 51	1	2	3	4
Volume 50	1	2	3	4
Volume 49	1	2	3	4
Past Issues
The Journal
Cover
Aims and Scope
Subscription Information
Editorial Board
Instructions for Author
Contact Us
Related Links

Vietnam Journal of Mathematics 34:3(2006) 307-316

 Polar Coordinates on H-type Groups and Applications

Junqiang Han and Pengcheng Niu

Abstract.  In this paper we construct polar coordinates on H-type groups. As applications, we explicitly compute the volume of the ball in the sense of the distance and the constant in the fundamental solution of p-sub-Laplacian on the H-type group. Also, we prove some nonexistence results of weak solutions for a degenerate elliptic inequality on the H-type group.

2000 Mathematics Subject Classification: 35R45, 35J70.

Keywords: H-type group, polar coordinate, nonexistence, degenerate elliptic inequality.

Established by Vietnam Academy of Science and Technology & Vietnam Mathematical Society

Published by Springer since January 2013