SOME LIOUVILLE TYPE THEOREMS FOR THE P-SUB-LAPLACIAN ON THE GROUP OF HEISENBERG TYPE  

SOME LIOUVILLE TYPE THEOREMS FOR THE P-SUB-LAPLACIAN ON THE GROUP OF HEISENBERG TYPE

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作  者:Yuan Zixia Niu Pengcheng 

机构地区:[1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072 [2]School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China [3]Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China

出  处:《Journal of Partial Differential Equations》2008年第3期193-207,共15页偏微分方程(英文版)

摘  要:In this paper we prove some Liouville type results for the p-sub-Laplacian on the group of Heisenberg type. A strong maximum principle and a Hopf type principle concerning p-sub-Laplacian are established.

关 键 词:p-sub-Laplacian Liouville type theorems group of Heisenberg type Strong maximum principle. 

分 类 号:O175.2[理学—数学]

 

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