TY - JOUR
T1 - A Note on <em>C</em><sup>1,α</sup> Estimates for Solutions of Fully Nonlinear Elliptic Equations and Obstacle Problems
AU - Chen Yazhe
JO - Journal of Partial Differential Equations
VL - 4
SP - 1
EP - 12
PY - 1992
DA - 1992/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5748.html
KW - Hölder estimate for the gradient
KW - viscosity solutions
KW - mollification approach
KW - obstacle problems
AB -  We deal with C^{1,α} interior estimates for solutions of fully nonlinear equation F(D²u, Du, x) = f(x) with the bounded gradient Du and a bounded f(x). Based on these estimates we obtain the existence of strong solutions of the obstacle problem for fully nonlinear elliptic equations under natural structure conditions.