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

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

2006-04-12

arxiv.org/abs/math/0604291v2

Mathematics

Analysis of PDEs

Slightly revised. To appear in Math. Z. 19 pages

Scientific paper

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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