自然增长条件下非线性椭圆方程的全局BMO估计  

Global BMO Estimates of Nonlinear Elliptic Equations Under Natural Growth Conditions

作　　者：常文锐 徐秀娟 佟玉霞 CHANG Wenrui;XU Xiujuan;TONG Yuxia(College of Science,North China University of Science and Technology,Tangshan 063210,China)

机构地区：[1]华北理工大学理学院,河北唐山063210

出　　处：《应用数学》2022年第1期99-109,共11页Mathematica Applicata

基　　金：河北省自然科学基金资助项目(A2019209005)。

摘　　要：本文研究自然增长条件下一类具有H?lder连续系数的椭圆方程弱解梯度的全局BMO估计.在系数矩阵A为H?lder连续并满足一致椭圆条件下,利用极大函数方法,获得非线性Calderón-Zygmund型全局BMO估计.The global BMO estimate of the gradient of weak solutions to a class of elliptic equations with the H?lder continuous coefficient under the natural growth condition is concerned. Under the conditions that the H?lder continuous coefficients satisfy the uniform ellipticity, a global BMO estimate of nonlinear Calderón-Zygmund type is completed by using the method of sharp maximum function.

关 键 词：弱解 BMO估计 极大函数 

分 类 号：O175.25[理学—数学]