Calculus of Variations and Geometric Measure Theory

N. De Nitti - S. M. Djitte

Fractional Hardy-Rellich inequalities via a Pohozaev identity

created by denitti on 06 Jan 2023


Submitted Paper

Inserted: 6 jan 2023
Last Updated: 6 jan 2023

Year: 2023


We prove a fractional Hardy-Rellich inequality with an explicit constant in bounded domains of class $C^\alpha$ with $\alpha>\max \{1,2s\}$. The strategy of the proof generalizes an approach pioneered by E. Mitidieri (Mat. Zametki, 2000) by relying on a fractional Pohozaev identity.