A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group

A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group

Year:    2002

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 4 : pp. 28–38

Abstract

In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group. The existence of the indefinite eigenvalue problem and the simplicity of the principal eigenvalue are proved.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JPDE-5459

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 4 : pp. 28–38

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Hardy type inequality