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.
作者
谢素英
杨超
XIE Suying;YANG Chao(College of Science,Hangzhou Dianzi University,Hangzhou 310018,China)
出处
《应用数学》
CSCD
北大核心
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)。
