摘要
本文研究一类具有可变指数的散度型椭圆方程Dirichlet问题弱解的全局Holder连续性.通过建立反向Holder不等式,并利用比较估计的方法,获得了所考虑问题弱解的全局C1,α连续性,推广了已有结论.
The global Holder continuity of weak solutions for a class of elliptic Dirichlet problems is concerned.It is obtained by using the reverse Holder inequality and the method of comparative estimation,which extends the existing conclusions.
作者
佟玉霞
田润蓁
孟宪瑞
刘晓丽
TONG Yuxia;TIAN Runzhen;MENG Xianrui;LIU Xiaoli(College of Science,North China University of Science and Technology,Tangshan 063210,China;Hebei Key Laboratory of Data Science and Application,Tangshan 063210,China;Jitang College,North China University of Science and Technology,Tangshan 063210,China)
出处
《应用数学》
北大核心
2023年第4期976-986,共11页
Mathematica Applicata
基金
河北省教育厅重点项目(ZD2022070)。
关键词
弱解
Hoder连续性
椭圆方程
Weak solution
Holder continuity
Elliptic equation
