摘要
研究拟凸泛函I(u)=∫Gf(x,δu,Dmu)dx,其中u是在Wm,p(G)(m>1,p>2)的矢量函数.本文在较弱条件下得到了I(u)极小在Cm,α的部分正则性.
We consider the following quasiconvex functional I(u)=∫ Gf(x,δu,D mu) d x where u is a vector valued function in W m,p (G),m>1 and p>2. The partial C m,a —regularity is proved for minimizers of I(u) under weaker conditions.