JournalsaihpcVol. 35, No. 4pp. 971–992

Dini estimates for nonlocal fully nonlinear elliptic equations

  • Hong Zhang

    Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912, USA

  • Hongjie Dong

    Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912, USA
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Abstract

We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order with rough and non-symmetric kernels. The proof is based on a novel application of Campanato's approach and a refined estimate in [9].

Cite this article

Hong Zhang, Hongjie Dong, Dini estimates for nonlocal fully nonlinear elliptic equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 4, pp. 971–992

DOI 10.1016/J.ANIHPC.2017.09.003