一般正则泛函的W-极小的正则性

On the C１，α-Regularity of the W-Minima of the Regular Function

中文关键词:  W－极小  正则性  正则泛函

英文关键词:W-minima  regularity  regular function.

中文摘要:

      本文讨论了一般的正则泛函：Ｆ（ｕ；Ω）＝∫_{Ωｆ（ｘ，ｕ，Ｄｕ）ｄｘ的局部Ｗ－极小的Ｃ^１，α正则性．获得了处理Ｗ－极小ｕ的Ｈ?ｌｄｅｒ连续的指数估计．}

英文摘要:

      This paper discusses the C^１，α-regularity of the local W-minima of the regular function: F(u,Ω)=∫_{Ωf(x,u,Du)dx, and obtains the exponent estimate of the α on the H?lder continuity of the local W-minima u .}