Geodesic
Dini estimates for nonlocal fully nonlinear elliptic equations
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 4, pp. 971-992

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We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order σ∈(0,2) with rough and non-symmetric kernels. The proof is based on a novel application of Campanato's approach and a refined Cσ+α estimate in [9].

DOI : 10.1016/j.anihpc.2017.09.003
Keywords: Nonlocal fully nonlinear elliptic equations, Dini type estimates, A priori estimates 
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     author = {Dong, Hongjie and Zhang, Hong},
     title = {Dini estimates for nonlocal fully nonlinear elliptic equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {971--992},
     publisher = {Elsevier},
     volume = {35},
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     year = {2018},
     doi = {10.1016/j.anihpc.2017.09.003},
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     zbl = {1394.35061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2017.09.003/}
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Dong, Hongjie; Zhang, Hong. Dini estimates for nonlocal fully nonlinear elliptic equations. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 4, pp. 971-992. doi: 10.1016/j.anihpc.2017.09.003

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