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SOME $\boldsymbol {L^p}$-HARDY AND $\boldsymbol {L^p}$-RELLICH TYPE INEQUALITIES WITH REMAINDER TERMS
Published online by Cambridge University Press: 22 June 2021
Abstract
In this paper we obtain some improved $L^p$ -Hardy and $L^p$ -Rellich inequalities on bounded domains of Riemannian manifolds. For Cartan–Hadamard manifolds we prove the inequalities with sharp constants and with weights being hyperbolic functions of the Riemannian distance.
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- Research Article
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- © 2021 Australian Mathematical Publishing Association Inc.
Footnotes
Communicated by Graeme Wilkin
The authors were supported by NNSF of China (11771395, 12071431).
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