| 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.
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| Fund Project:the National Natural Science Foundation of China (10371099). |
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| 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 |
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