| | | | | 关于一类泛函极小解梯度的处处正规性 | | | 邱子华 | | | 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.
【作者单位】：广州师院数学系
【关键词】：非二次泛函;向量值函数;极小;梯度;处处正则性
【分类号】：O177
【DOI】：cnki:ISSN:1007-1814.0.1994-05-009
【正文快照】：
AcerbiFusco在山中考虑了下面的向量值函数的泛函I（,G）一f0APW‘）dw,W＊[W’（G）”（1其中G是n维欧氏空间En中的有界区域厂是其自变量的二次连续函数,且人O。人n\满足如下的条件:几V‘+旧‘g<八o<厂…‘+旧尸厂>0,K>1）（2）旧‘以）卜尺y十旧）卜一“（3）<0八<）0）,q<>b2十旧丫o、＊（4此外对某个。。（0,2—p）成立ID人《）一D‘八n）I | | |  推荐 CAJ下载  PDF下载 | | | CAJViewer7.0阅读器支持所有CNKI文件格式，AdobeReader仅支持PDF格式 | | | | Everywhere Regularity for the Gradient of Minimizers for a Class of Functionals | | | Qiu Zi-hua (Guangzhou Teachers College) | | | 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.
【Keyword】：non-quadratic functional, vector valued function, minimizer,gradient, everywhere regularity. |
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