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

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Abstract

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.

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  1. Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece

    G. Barbatis

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  1. G. Barbatis
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Correspondence to G. Barbatis.

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Barbatis, G. Best constants for higher-order Rellich inequalities in L p(Ω). Math. Z. 255, 877–896 (2007). https://doi.org/10.1007/s00209-006-0056-5

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  • DOI: https://doi.org/10.1007/s00209-006-0056-5

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