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

作　　者：赵青 ZHAO Qing(School of Mathematics and statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2024年第1期99-103,共5页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金项目(11571159).

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.In this paper,the properties of very weak solutions are mainly considered for a class of elliptic systems with inhomogeneous terms of p-Laplacian type on a bounded domainΩÌRn.The Lipschitz 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 

分 类 号：O175.2[理学—数学]