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

G. Barbatis

arxiv: math/0604291 · v2 · submitted 2006-04-12 · 🧮 math.AP · math.SP

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

G. Barbatis This is my paper

classification 🧮 math.AP math.SP

keywords higher-orderimprovementinequalitiesrellichseriesaddedbestconstants

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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.

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

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