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

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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.

Keywords:

Hardy type inequality;Picone type identity;indefinite eigenvalue problem;homogeneous group
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A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group. (2020). Journal of Partial Differential Equations, 15(4), 28-38. https://global-sci.com/index.php/jpde/article/view/4000