| Stampacchia引理、推广及应用 |
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| 引用本文： | 高红亚,高斯宇.Stampacchia引理、推广及应用[J].河北大学学报(自然科学版),2021,41(5):481. |
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| 作者姓名： | 高红亚 高斯宇 |
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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;北德克萨斯大学数学系,德克萨斯州丹顿76203 |
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| 基金项目： | 国家自然科学基金资助项目(12071021);河北省自然科学基金资助项目(A2019201120) |
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| 摘 要： | 经典的 Stmapacchia 引理在椭圆型偏微分方程的正则性理论和变分问题中有广泛应用.本文总结 Stampacchia 引理和此引理的若干推广,并给出这些推广在某退缩椭圆型偏微分方程正则性理论中的应用.
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| 关 键 词： | Stampacchia引理 推广 椭圆型偏微分方程 变分问题 正则性 |
| 收稿时间： | 2021-02-07 |
Stampacchia lemma,generalizations and application |
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| GAO Hongya,GAO Siyu.Stampacchia lemma,generalizations and application[J].Journal of Hebei University (Natural Science Edition),2021,41(5):481. |
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| Authors: | GAO Hongya GAO Siyu |
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| Institution: | 1. Hebei Key Laboratory of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, China; 2. Department of Mathematics, University of North Texas, Denton 76203, USA |
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| Abstract: | The classical Stampacchia lemma has been widely used in the regularity theory of elliptic partial differential equations and systems as well as variational problems. This paper summarizes the Stampacchia lemma and their generalizations, and give an application to the regularity theory of degenerate elliptic partial differential equations. |
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| Keywords: | Stampacchia lemma generalization elliptic partial differential equation variational problems regularity |
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