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

2006/04/12 by Gerassimos Barbatis, Barbatis, G.
Mathematics · #26D10 #35J35 #35P15 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.math/0604291

openalex publication_date 2006/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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