Fractional Hardy–Rellich inequalities via integration by parts

De Nitti N, Djitté SM (2024)

Publication Language: English

Publication Type: Journal article

Publication year: 2024

Journal

Nonlinear Analysis - Theory Methods & Applications Elsevier

Book Volume: 243

Article Number: 113478

DOI: 10.1016/j.na.2023.113478

Abstract

We prove a fractional Hardy–Rellich inequality with an explicit constant in bounded domains of class C1,1. The strategy of the proof generalizes an approach pioneered by E. Mitidieri (Mat. Zametki, 2000) by relying on a Pohozaev-type identity.

Authors with CRIS profile

Nicola De Nitti
Sidy Moctar Djitté Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

École Polytechnique Fédérale de Lausanne (EPFL) CH Switzerland (CH)

How to cite

APA:

De Nitti, N., & Djitté, S.M. (2024). Fractional Hardy–Rellich inequalities via integration by parts. Nonlinear Analysis - Theory Methods & Applications, 243. https://doi.org/10.1016/j.na.2023.113478

MLA:

De Nitti, Nicola, and Sidy Moctar Djitté. "Fractional Hardy–Rellich inequalities via integration by parts." Nonlinear Analysis - Theory Methods & Applications 243 (2024).

BibTeX: Download