Fractional Hardy-Rellich inequalities via integration by parts
De Nitti, Nicola; Djitte, Sidy Moctar
2024

Abstract

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

Details

Title Fractional Hardy-Rellich inequalities via integration by parts
Author(s) De Nitti, Nicola ; Djitte, Sidy Moctar
Published in Nonlinear Analysis-Theory Methods & Applications
Volume 243
Pages 113478
Date 2024-06-01
Publisher Oxford, Pergamon-Elsevier Science Ltd
ISSN 0362-546X
1873-5215
Keywords
DOI https://doi.org/10.1016/j.na.2023.113478
Other identifier(s) View record in Web of Science
Laboratories AMCV
Record Appears in Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > AMCV - Chair of Mathematical Analysis, Calculus of Variations and PDEs
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Grant Alexander von Humboldt-Professorship program
Transregio 154 Project of the Deutsche Forschungsgemeinschaft
Record creation date 2024-07-03