摘要
给出经典 Holder不等式的一个推广,并应用推广的 Holder不等式,研究在边界值不为零的情 况下,非线性散度型椭圆方程的边值问题.利用Stampacchia引理以及Sobolev空间的分析技巧,得到解的正 则性结果.
A generalization of the classical Holder's inequality is given,which is applied to the study the boundary value problems of nonlinear divergence type elliptic equation when the boundary value is not zero.The regularity property of the solution is obtained by using Stampacchia lemma and the technique of Sobolev spaces.
作者
黄苗苗
王凤莉
高红亚
HUANG Miaomiao;WANG Fengli;GAO Hongya(Key Laboratory of Machine Learning and Computational Intelligence,College of Mathematics and Information Science,Hebei University,Baoding 071002,China;School of Architecture,Shijiazhuang University of Applied Technology,Shijiazhuang 050081,China)
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2019年第6期568-572,共5页
Journal of Hebei University(Natural Science Edition)
基金
河北省自然科学基金资助项目(A2019201120)
关键词
HOLDER不等式
非线性椭圆型方程
边值问题
正则性
generalization of Holder's inequality
nonlinear elliptic equation
boundary value problem
regularity
