| 关于一类泛函极小解梯度的处处正规性 |
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| 引用本文： | 邱子华.关于一类泛函极小解梯度的处处正规性[J].怀化学院学报,1994(5). |
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| 作者姓名： | 邱子华 |
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| 作者单位： | 广州师院数学系 |
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| 摘 要： | 证明了泛函极小的梯度在区域内部的处处H(?)lder连续性,本文改进1]中的证明,在较弱条件下得到1]中的同样的结果.
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| 关 键 词： | 非二次泛函 向量值函数 极小 梯度 处处正则性 |
Everywhere Regularity for the Gradient of Minimizers for a Class of Functionals |
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| Qiu Zi-hua.Everywhere Regularity for the Gradient of Minimizers for a Class of Functionals[J].Journal of Huaihua University,1994(5). |
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| Authors: | Qiu Zi-hua |
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| Institution: | Guangzhou Teachers College |
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| Abstract: | The functional of vector valued functions was considered and the everywhere regularity for the gradient of the minimizers of the functional was proved by Accrbi-Fusco in 1].In this paper, we proved the same results under the weaker conditions. On the other hand ,the Holder's exponent can be any real constant λ∈ (0,1).This is an improvement. |
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| Keywords: | non-quadratic functional vector valued function minimizer gradient everywhere regularity |
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