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Volume 15, Issue 4
A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group

Yazhou Han , Pengcheng Niu & Xuebo Luo

J. Part. Diff. Eq., 15 (2002), pp. 28-38.

Published online: 2002-11

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  • Abstract
In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group. The existence of the indefinite eigenvalue problem and the simplicity of the principal eigenvalue are proved.
  • Keywords

Hardy type inequality Picone type identity indefinite eigenvalue problem homogeneous group

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@Article{JPDE-15-28, author = {Yazhou Han , Pengcheng Niu and Xuebo Luo }, title = {A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {4}, pages = {28--38}, abstract = { In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group. The existence of the indefinite eigenvalue problem and the simplicity of the principal eigenvalue are proved.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5459.html} }
TY - JOUR T1 - A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group AU - Yazhou Han , Pengcheng Niu & Xuebo Luo JO - Journal of Partial Differential Equations VL - 4 SP - 28 EP - 38 PY - 2002 DA - 2002/11 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5459.html KW - Hardy type inequality KW - Picone type identity KW - indefinite eigenvalue problem KW - homogeneous group AB - In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group. The existence of the indefinite eigenvalue problem and the simplicity of the principal eigenvalue are proved.
Yazhou Han , Pengcheng Niu and Xuebo Luo . (2002). A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group. Journal of Partial Differential Equations. 15 (4). 28-38. doi:
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