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

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