TY - JOUR T1 - Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group 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.