Dirichlet Eigenvalue Ratios for the <em>p</em>-sub-Laplacian in the Carnot Group

Dirichlet Eigenvalue Ratios for the <em>p</em>-sub-Laplacian in the Carnot Group

Year:    2009

Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 1 : pp. 1–10

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-JPDE-5243

Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 1 : pp. 1–10

Published online:    2009-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Carnot group