| Holder不等式的推广及应用 |
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| 引用本文： | 黄苗苗,王凤莉,高红亚.Holder不等式的推广及应用[J].河北大学学报(自然科学版),2019,39(6):568. |
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| 作者姓名： | 黄苗苗 王凤莉 高红亚 |
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| 作者单位： | 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;石家庄职业技术学院建筑工程学院,河北 石家庄,050081 |
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| 摘 要： | 给出经典Hölder不等式的一个推广,并应用推广的Hölder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.
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| 关 键 词： | Hö lder不等式 非线性椭圆型方程 边值问题 正则性 |
| 收稿时间： | 2019-04-27 |
Generalization of Holder's inequality and it's applications |
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| HUANG Miaomiao,WANG Fengli,GAO Hongya.Generalization of Holder's inequality and it's applications[J].Journal of Hebei University (Natural Science Edition),2019,39(6):568. |
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| Authors: | HUANG Miaomiao WANG Fengli GAO Hongya |
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| Institution: | 1.Key Laboratory of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, China; 2.School of Architecture, Shijiazhuang University of Applied Technology, Shijiazhuang 050081, China |
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| Abstract: | A generalization of the classical Hölders 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. |
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| Keywords: | generalization of Hö lders inequality boundary value problem regularity |
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