English

Fractional Hardy-Rellich inequalities via integration by parts

Analysis of PDEs 2023-05-04 v1

Abstract

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

Keywords

Cite

@article{arxiv.2305.01976,
  title  = {Fractional Hardy-Rellich inequalities via integration by parts},
  author = {Nicola De Nitti and Sidy Moctar Djitte},
  journal= {arXiv preprint arXiv:2305.01976},
  year   = {2023}
}