Fractional Hardy-Rellich inequalities via integration by parts

2023/05/03 by Nicola De Nitti, De Nitti, Nicola, Sidy Moctar Djitte +1 · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2305.01976

openalex publication_date 2023/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a fractional Hardy-Rellich inequality with an explicit constant in bounded domains of class C^1,1. The strategy of the proof generalizes an approach pioneered by E. Mitidieri (Mat. Zametki, 2000) by relying on a Pohozaev-type identity.

Cited by

• A critical Hardy-Rellich inequality
• Sharp numerical approximation of the Hardy constant

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