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Hardy and Rellich type inequalities on complete manifolds |
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| Authors: | Changyu Xia |
| Affiliation: | School of Mathematics and Computer Science, Hubei University, Wuhan 430062, PR China; Departamento de Matemática, Universidade de Brasília, 70910-900 Brasília-DF, Brazil |
| Abstract: | We prove some Hardy and Rellich type inequalities on complete noncompact Riemannian manifolds supporting a weight function which is not very far from the distance function in the Euclidean space. |
| Keywords: | Hardy and Rellich inequalities Complete manifolds Nonnegative Ricci curvature |
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