一类非齐次椭圆方程组非常弱解的比较原理
Comparison principle for very weak solutions to a class of inhomogeneous elliptic systems
赵青1
作者信息
- 1. 闽南师范大学数学与统计学院,福建 漳州 363000
- 折叠
摘要
主要考虑一类具有p-Laplace型非齐次项的椭圆方程组在有界区域ΩÌRn上的非常弱解的性质.利用McShane扩张定理构造了一个Lipschitz连续函数作为检验函数,应用Hardy-Littlewood最大函数的性质以及Hölder不等式得到了非常弱解的比较原理.
Abstract
In this paper,the properties of very weak solutions are mainly considered for a class of el-liptic systems with inhomogeneous terms of p-Laplacian type on a bounded domain ΩÌRn.The Lip-schitz continuous test function is constructed by applying the McShane extension theorem.Then the comparison principle of very weak solutions is obtained by using the Hardy-Littlewood maximum theorem and the Hölder inequality.
关键词
比较原理/非常弱解/p-Laplace型/McShane扩张Key words
comparison principle/very weak solution/p-Laplace type/McShane extension引用本文复制引用
出版年
2024
NETL
NSTL
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