关于一类蜕化泛函极小的正则性

THE REGULARITY OF MINIMIZERS OF A CLASS DEGENERATE FUNCTION

在ｎ维欧氏空间Ｅｎ中的有界区域Ｇ上考虑一类蜕化泛函∫Ｇｆ（｜ｕ｜２）ｄｘ，ｕ∈［Ｗ１，ｐ（Ｇ）］Ｎ，１＜ｐ＜２，Ｎ＞１证明了它在Ｇ内的处处正则性，推广或改进了一些文献的部分结果．

Consider on a bounded domain G in E n,the following functional of vector valued functions ∫ Bf(|u| 2) d x,u∈W 1,p (G) N (1<p<2,N>1) is studied.About the regularity of minimizers for the functional is proved.The results which are obtained by author enrich and extend the corresponding results in some references.