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

Authors

  • Na Wei , Pengcheng Niu & Haifeng Liu

Keywords:

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

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.

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Published

2009-02-02

Issue

Vol. 22 No. 1 (2009)

Section

Articles