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A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group |
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| Authors: | Yazhou Han Pengcheng Niu & Xuebo Luo |
| 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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