| 一类非齐次椭圆方程组非常弱解的正则性 |
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| 引用本文： | 陈淑红. 一类非齐次椭圆方程组非常弱解的正则性[J]. 浙江大学学报(理学版), 2023, 50(1): 25-29. DOI: 10.3785/j.issn.1008-9497.2023.01.004 |
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| 作者姓名： | 陈淑红 |
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| 作者单位： | 武夷学院 数学与计算机学院，福建 武夷山 354300 |
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| 基金项目： | 国家自然科学基金资助项目(11571159);武夷学院引进人才科研启动项目(YJ202118) |
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| 摘 要： | 研究一类非齐次项是p-Laplace算子的椭圆方程组非常弱解的正则性。结合Hodge分解以及偏微分方程正则性理论的证明技巧，建立了具有p-Laplace型椭圆方程组的非常弱解与经典意义下的弱解之间的关系。
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| 关 键 词： | p-Laplace型 非常弱解 Hodge分解 正则性 |
| 收稿时间： | 2021-09-09 |
Regularity of very weak solutions for a class of inhomogeneous elliptic equations |
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| Shuhong CHEN. Regularity of very weak solutions for a class of inhomogeneous elliptic equations[J]. Journal of Zhejiang University(Sciences Edition), 2023, 50(1): 25-29. DOI: 10.3785/j.issn.1008-9497.2023.01.004 |
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| Authors: | Shuhong CHEN |
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| Affiliation: | School of Mathematics and Computer，Wuyi University，Wuyishan 354300，Fujian Province，China |
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| Abstract: | In this paper, we study the regularity theory of very weak solutions for a class of elliptic equations which inhomogeneous terms are p-Laplace operators. Combining Hodge decomposition and the regularity theory of partial differential equations, the relation between the very weak solution of p-Laplacian elliptic equations and the weak solution in the classical sense is established. |
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| Keywords: | p-Laplace type very weak solution Hodge decomposition regularity |
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