Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group  

作　　者：WEI Na NIU Pengcheng LIU Haifeng 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China

出　　处：《Journal of Partial Differential Equations》2009年第1期1-10,共10页偏微分方程（英文版）

摘　　要：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 Dirich- let eigenvalues for the p-sub-Laplacian are established.

关 键 词：Carnot group p-sub-Laplacian Dirichlet eigenvalue Hardy-type inequality. 

分 类 号：O151.21[理学—数学] TP391.41[理学—基础数学]