非齐次椭圆方程很弱解的比较原理  

Comparison Principle of Very Weak Solutions for Nonhomogeneous Elliptic Equations

作　　者：谢素英[1] 杨超 XIE Suying;YANG Chao(College of Science,Hangzhou Dianzi University,Hangzhou 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《应用数学》2020年第3期572-578,共7页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of Zhejiang Province of China under Grant(LQ17A010007)。

摘　　要：在一些适当的假设条件下,通过McShane扩张定理构造Lipschitz连续检验函数,本文得到了拟线性椭圆方程−divA(x,∇u(x))=f(x,u)很弱解的比较原理,推广了齐次方程的相关结果.Under some suitable assumptions,a comparison principle of very weak solutions for quasi-linear elliptic equation−divA(x;∇u)=f(x;u)is given by using McShane extension theorem to construct the Lipschitz continuous test function,and the corresponding results of some homogeneous equations are generalized.

关 键 词：很弱解 比较原理 Lipschitz连续检验函数 McShane扩张定理 

分 类 号：O175.2[理学—数学]