Best constants for higher-order Rellich inequalities in $L^p(Ω)$

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We obtain a series improvement to higher-order $L^p$-Rellich inequalities on a Riemannian manifold $M$. The improvement is shown to be sharp as each new term of the series is added.
Slightly revised. To appear in Math. Z. 19 pages

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Analysis of PDEs, Spectral Theory, 35J35; 35P15; 26D10

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http://salesiana.dossiersoluciones.com/handle/123456789/111552

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604291
 http://arxiv.org/abs/math/0604291

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arXiv