Dini estimates for nonlocal fully nonlinear elliptic equations

Dong, Hongjie; Zhang, Hong

doi:10.1016/j.anihpc.2017.09.003

Dong, Hongjie ; Zhang, Hong

Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 4, pp. 971-992.

Résumé

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

MR Zbl

DOI : 10.1016/j.anihpc.2017.09.003

Mots clés : 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},
     number = {4},
     year = {2018},
     doi = {10.1016/j.anihpc.2017.09.003},
     mrnumber = {3795023},
     zbl = {1394.35061},
     language = {en},
     url = {http://www.numdam.org/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. http://www.numdam.org/articles/10.1016/j.anihpc.2017.09.003/

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