English

Gradient estimates in fractional Dirichlet problems

Analysis of PDEs 2019-09-17 v1

Abstract

We obtain some fine gradient estimates near the boundary for solutions to fractional elliptic problems subject to exterior Dirichlet boundary conditions. Our results provide, in particular, the sign of the normal derivative of such solutions near the boundary of the underlying domain.

Keywords

Cite

@article{arxiv.1909.07261,
  title  = {Gradient estimates in fractional Dirichlet problems},
  author = {Mouhamed Moustapha Fall and Sven Jarohs},
  journal= {arXiv preprint arXiv:1909.07261},
  year   = {2019}
}
R2 v1 2026-06-23T11:16:49.632Z