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Volume 22, Issue 1
Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group

Na Wei , Pengcheng Niu & Haifeng Liu

J. Part. Diff. Eq., 22 (2009), pp. 1-10.

Published online: 2009-02

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  • Abstract

We prove some new Hardy type inequalities on the bounded domain with smooth boundary in the Carnot group. Several estimates of the first and second Dirichlet eigenvalues for the p-sub-Laplacian are established.

  • Keywords

Carnot group p-sub-Laplacian Dirichlet eigenvalue Hardy-type inequality

  • AMS Subject Headings

35B05 35H99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-22-1, author = {Na Wei , Pengcheng Niu and Haifeng Liu }, title = {Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group}, journal = {Journal of Partial Differential Equations}, year = {2009}, volume = {22}, number = {1}, pages = {1--10}, abstract = {

We prove some new Hardy type inequalities on the bounded domain with smooth boundary in the Carnot group. Several estimates of the first and second Dirichlet eigenvalues for the p-sub-Laplacian are established.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5243.html} }
TY - JOUR T1 - Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group AU - Na Wei , Pengcheng Niu & Haifeng Liu JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 10 PY - 2009 DA - 2009/02 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5243.html KW - Carnot group KW - p-sub-Laplacian KW - Dirichlet eigenvalue KW - Hardy-type inequality AB -

We prove some new Hardy type inequalities on the bounded domain with smooth boundary in the Carnot group. Several estimates of the first and second Dirichlet eigenvalues for the p-sub-Laplacian are established.

Na Wei , Pengcheng Niu and Haifeng Liu . (2009). Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group. Journal of Partial Differential Equations. 22 (1). 1-10. doi:
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