H?lder不等式的推广及应用  

Generalization of H?lder’s inequality and its applications

作　　者：黄苗苗 王凤莉[2] 高红亚[1] 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)

机构地区：[1]河北大学数学与信息科学学院,河北省机器学习与计算智能重点实验室,河北保定071002 [2]石家庄职业技术学院建筑工程学院,河北石家庄050081

出　　处：《河北大学学报（自然科学版）》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)

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.

关 键 词：HOLDER不等式 非线性椭圆型方程 边值问题 正则性 

分 类 号：O175.23[理学—数学]