@Article{JPDE-6-193,
author = {Chen Yazhe},
title = {<em>C</em><sup>1,α</sup> Regularity of Viscosity Solutions of Fully Nonlinear Elliptic PDE Under Natural Structure Conditions},
journal = {Journal of Partial Differential Equations},
year = {1993},
volume = {6},
number = {3},
pages = {193--216},
abstract = { In this paper we are concemed with fully nonlinear elliptic equation F(x, u, Du, D²u) = 0. We establish the interior Lipschitz continuity and C^{1,α} regularity of viscosity solutions under natural structure conditions without differentiating the equation as usual, especially we give a new analytic Harnack inequality approach to C^{1,α} estimate for viscosity solutions instead of the geometric approach given by L. Caffarelli \&amp; L. Wang and improve their results. Our structure conditions are rather mild.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5710.html}
}