摘要
用Caffarelli的扰动思想建立了二阶完全非线性椭圆方程非线性斜导数问题强解的整体Holder梯度估计,其中方程和边界条件不必是有界或可微的.
The paper establish the global Holder gradient estimates for solutions of the nonlinear oblique derivative problems for second order fully nonlinear elliptic equa- tions, which equations and boundary conditions need not be bounded or differentiable. The approach is based on Caffarelli's perturbation method.
出处
《北京师范大学学报(自然科学版)》
CAS
CSCD
1993年第3期315-321,共7页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金
关键词
梯度算法
HOELDER
椭圆斜导数
Hlder gradient estimate
fully nonlinear equation
oblique derivative boundary condition
unbounded and not differentiable terms
perturbation method
degenerate oblique derivative problem