@Article{JPDE-8-219,
author = {Bao , Jiguang},
title = {W<sup>2,p</sup><sub>loc</sub>(\Omega)\cap C<sup>1,α</sup>(\bar Ω) Viscosity Solutions of Neumann Problems for Fully Nonlinear Elliptic Equations},
journal = {Journal of Partial Differential Equations},
year = {1995},
volume = {8},
number = {3},
pages = {219--232},
abstract = { In this paper we study fully nonlinear elliptic equations F(D²u, x) = 0 in Ω ⊂ R^n with Neumann boundary conditions \frac{∂u}{∂v} = a(x)u under the rather mild structure conditions and without the concavity condition. We establish the global C^{1,Ω} estimates and the interior W^{2,p} estimates for W^{2,q}(Ω) solutions (q &gt; 2n) by introducing new independent variables, and moreover prove the existence of W^{2,p}_{loc}(Ω)∩ C^{1,α}(\bar \Omega} viscosity solutions by using the accretive operator methods, where p E (0, 2), α ∈ (0, 1}.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5654.html}
}