| 对角型椭圆组解的Holder连续性 |
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| 作者单位： | 中山大学数学系 |
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| 摘 要： | 考虑一类对角型椭圆组，它的非线性项关于未知解的梯度为二次增长．在适当的“小性条件”下，对有界解证明它的模在区域内部连续．这个结果和Ｗｉｅｇｎｅｒ的一个结果相结合重新得到有界解的内部Ｈｏｌｄｅｒ连续性
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| 关 键 词： | 对角型椭圆组，二次增长，内部Holder连续性 |
Hlder Continuity of Solutions of Elliptic Systems in Diagonal Form |
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| Authors: | Liang Xiting |
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| Institution: | Liang XitingDepartment of Mathematics,Zhongshan University,Guangzhou 510275 |
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| Abstract: | Consider an elliptic system in diagonal form of which the nonlinear terms are of quadratical growth respect to the gradient of the unknown solution. It is proved that the modulus of bounded solution of the above systemis continuous in G under a suitable smallness condition. Combining this result with a result due to Wiegner the interior Hder continuity is deduced again to bounded solutions. |
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| Keywords: | elliptic system in diagonal form quadratical growth interior Hlder continuity |
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