次临界增长$P$-调和组的处处内部正则性

doi:10.12386/A2008sxxb0117

数学学报 ›› 2008, Vol. 51 ›› Issue (5) : 1001-101. DOI: 10.12386/A2008sxxb0117

论文

次临界增长 $P$ -调和组的处处内部正则性

郑神州章腊萍

作者信息 +

Everywhere Interior Regularity for $P$ -Harmonic Form Systems with the Subcritical Growth

Shen Zhou ZHENG

Author information +

Department of Mathematics, Northern Jiaotong University, Beijing

100044,

P. R. ChinaDepartment of Mathematics, Northern Jiaotong University, Beijing

100044,

P. R. China

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摘要

对于低阶梯度项满足次临界增长的

p

-调和型方程组,本文建立了其弱解梯度具有处处内部H\"older连续性的正则性结果, 本文结论就低阶项的增长指标来说已经达到最佳.

Abstract

We shall establish that the derivatives of weak solutions for

P

-Harmonic systems under the subcritical growth belong to everywhere interior H\"older continuity spaces with some H\"older exponent. This conclusion is the best situation as for the lower order items with the subcritical growth index.

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$p$ -调和型方程组 / Morrey-Campanato空间 / 次临界增长

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郑神州章腊萍. 次临界增长

P

-调和组的处处内部正则性. 数学学报, 2008, 51(5): 1001-101 https://doi.org/10.12386/A2008sxxb0117

Shen Zhou ZHENG. Everywhere Interior Regularity for

P

-Harmonic Form Systems with the Subcritical Growth. Acta Mathematica Sinica, Chinese Series, 2008, 51(5): 1001-101 https://doi.org/10.12386/A2008sxxb0117

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收稿日期	修回日期	出版日期
2007-02-02	2008-04-08	2008-05-15
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2008-05-15

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