A Hopf Type Principle and a Strong Maximum Principle for the $p$-Sub-Laplacian on the Group of Heisenberg Type
Received:January 21, 2005  Revised:July 03, 2006
Key Words: Heisenberg type group   $p$-sub-Laplacian   Hopf type principle   strong maximum principle.  
Fund Project:the National Natural Science Foundation of China (10371099).
Author NameAffiliation
YUAN Zi-xia Department of Applied Mathematics, Northwestern Polytechnical University, Shaanxi 710072, China 
NIU Peng-cheng Department of Applied Mathematics, Northwestern Polytechnical University, Shaanxi 710072, China 
Hits: 3810
Download times: 1552
Abstract:
      In this paper we extend Capogna, Danielli and Garofalo's result about radial solution of $p$-sub-Laplacian. Then by improving the method for Hopf principle concerning Laplacian on the Euclidean space, we set up a Hopf type principle for the $p$-sub-Laplacian, and prove a strong maximum principle.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.03.021
View Full Text  View/Add Comment