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

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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
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Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group. (2009). Journal of Partial Differential Equations, 22(1), 1-10. https://global-sci.com/index.php/jpde/article/view/4130