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Volume 21, Issue 3
Some Liouville Type Theorems for the P-sub-Laplacian on the Group of Heisenberg Type

Zixia Yuan & Pengcheng Niu

J. Part. Diff. Eq., 21 (2008), pp. 193-207.

Published online: 2008-08

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  • Abstract
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.
  • Keywords

p-sub-Laplacian Liouville type theorems group of Heisenberg type Strong maximum principle

  • AMS Subject Headings

35J60 35D05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-21-193, author = {Zixia Yuan and Pengcheng Niu }, title = {Some Liouville Type Theorems for the P-sub-Laplacian on the Group of Heisenberg Type}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {3}, pages = {193--207}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5277.html} }
TY - JOUR T1 - Some Liouville Type Theorems for the P-sub-Laplacian on the Group of Heisenberg Type AU - Zixia Yuan & Pengcheng Niu JO - Journal of Partial Differential Equations VL - 3 SP - 193 EP - 207 PY - 2008 DA - 2008/08 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5277.html KW - p-sub-Laplacian KW - Liouville type theorems KW - group of Heisenberg type KW - Strong maximum principle AB - 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.
Zixia Yuan and Pengcheng Niu . (2008). Some Liouville Type Theorems for the P-sub-Laplacian on the Group of Heisenberg Type. Journal of Partial Differential Equations. 21 (3). 193-207. doi:
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