| 低于临界增长 p -调和型方程组的完全正则性 |
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| 引用本文： | 郑神州,赵书乐.低于临界增长 p -调和型方程组的完全正则性[J].数学物理学报(A辑),2008,28(3):480-488. |
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| 作者姓名： | 郑神州 赵书乐 |
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| 作者单位： | 北京交通大学数学系,北京100044 |
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| 基金项目： | 北京交通大学``十五'专项基金(2004SM056)和国家自然科学基金(10671022)资助 |
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| 摘 要： | 当p≥ 2时,得到一类低于临界增长的退化椭圆型方程组弱解微商属于局部Morrey-Campanauo空间$L^{ p,\lambda}$和${\cal L}^{p, \gamma}$;在附加条件下,进一步建立其弱解微商的局部H\"older连续性.
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| 关 键 词： | Morrey-Campanato空间 p -调和方程组 完全正则性 |
| 收稿时间： | 2005-12-08 |
| 修稿时间： | 2007-09-20 |
Full Regularity of {\boldmath $p$}-Harmonic Type Systems Below
the Critical Growth |
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Zheng Shenzhou,Zhao Shule
.Full Regularity of {\boldmath $p$}-Harmonic Type Systems Below
the Critical Growth[J].Acta Mathematica Scientia,2008,28(3):480-488. |
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| Authors: | Zheng Shenzhou Zhao Shule
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| Institution: | Department of Mathematics, Beijing Jiaotong University, Beijing 100044 |
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| Abstract: | For $p\geq 2$, the authors establish that each weak solution of a class of degenerate elliptic systems below the critical growth belongs to Morrey spaces. Furthermore, the authors obtain that the first derivative of each weak solution is locally H\"older continuous under additional conditions. |
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| Keywords: | Morrey-Campanato spaceszz $p$-Harmonic systemszz Fully regularityzz |
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