摘要
本文主要研究自然增长条件的一类非线性椭圆方程-divA (x,▽u)=divF+B (x,u,▽u)弱解梯度的全局BMO估计.在A(x,▽u)满足充分小的BMO系数条件下,利用扰动讨论和极大函数等方法,完成了一类非线性Calderón-Zygmund型全局BMO估计.
In this paper, the global BMO estimates of the gradient of weak solutions to a class of elliptic equation that-divA(x,▽u) = divF + B(x, u,▽u) under the natural growth condition is concerned. Under the conditions of the uniform ellipticity and BMO smallness, a global BMO estimate of nonlinear Calderón-Zygmund type is completed by using the method of perturbation argument and sharp maximum function.
作者
常文锐
赵崧
佟玉霞
CHANG Wenrui;ZHAO Song;TONG Yuxia(College of Science,North China University of Science and Technology,Tangshan 063210,China)
出处
《纯粹数学与应用数学》
2024年第2期285-300,共16页
Pure and Applied Mathematics
基金
河北省自然科学基金(A2019209005)。
