English

Dini estimates for nonlocal fully nonlinear elliptic equations

Analysis of PDEs 2016-12-28 v1

Abstract

We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order σ(0,2)\sigma\in (0,2) with rough and non-symmetric kernels. The proof is based on a novel application of Campanato's approach and a refined Cσ+αC^{\sigma+\alpha} estimate in [8].

Keywords

Cite

@article{arxiv.1612.08310,
  title  = {Dini estimates for nonlocal fully nonlinear elliptic equations},
  author = {Hongjie Dong and Hong Zhang},
  journal= {arXiv preprint arXiv:1612.08310},
  year   = {2016}
}

Comments

23 pages, submitted

R2 v1 2026-06-22T17:34:18.396Z