| p调和函数正则性的一个注记 |
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| 引用本文： | 蒋先江.p调和函数正则性的一个注记[J].宁波大学学报(理工版),2011,24(1):46-48. |
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| 作者姓名： | 蒋先江 |
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| 作者单位： | 宁波大学理学院,浙江宁波,315211 |
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| 基金项目： | 国家自然科学基金，宁波市自然科学基金 |
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| 摘 要： | 若p调和函数u属于W^1，q〉p-1〉0，且满足｜p-2｜或｜p—g｜足够小，证明了△↓一定是Holder连续的．这个结果推广了调和函数（p=2）的正则性结论，其证明主要运用了Hodge分解及反Holder不等式．
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| 关 键 词： | p调和函数 正则性 Hodge分解 反Holder不等式 |
A Note on the Regularity of p Harmonic Function |
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| JIANG Xian-jiang.A Note on the Regularity of p Harmonic Function[J].Journal of Ningbo University(Natural Science and Engineering Edition),2011,24(1):46-48. |
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| Authors: | JIANG Xian-jiang |
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| Institution: | JIANG Xian-jiang (Faculty of Science,Ningbo University,Ningbo 315211,China) |
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| Abstract: | Assuming ap harmonic function u in W^1＇q, q 〉p -1 〉 0, withp-2or｜ p-q｜ sufficiently small, this paper proves that Vu must be Holder continuous. This finding extends the result of the regularity of harmonic function （ p = 2 ）. The proofs are derived on the basis of Hodge decomposition and reverse Holder inequalities. |
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| Keywords: | p harmonic function regularity Hodge decomposition reverse Holder inequalities |
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