A priori estimates for classical solutions of fully nonlinear elliptic equations

• 作 者: Yi Cao (1) [e-mail]
• 机 构: XiAnJiaoTongUniv,UnivIowa
• 出 处: 中国科学：数学英文版
• 发表日期: 2011年3期
• 关键词: 非线性椭圆方程 解的先验估计 非线性算子 大肠杆菌 粘性解 连续模 fully nonlinear classical solutions C2 α estim
• 基金项目: supported by National Natural Science Foundation of China （Grant No.10771166）

For the fully nonlinear uniformly elliptic equation F(D2u) = 0, it is well known that the viscosity solutions are C2,α if the nonlinear operator F is convex (or concave). In this paper, we study the classical solutions for the fully nonlinear elliptic equ