关于拟凸泛函极小的部分正则性的一个注

A Remark on the partial Regularity for Minimizers of Quasiconvex Fumctionals

本文给出了Acerbi—Fusco定理的一个新证明,指出证明拟凸泛函I(u,G)=f(▽u)dx,u∈W_P^1(G,E^N),P≥2,N>1极小的部分正则性可以不必利用W_P^1(G,E^N)中函数的逼近定理,也不需用到Radon测度的有关性质。

It is showed in this paper that in order to prove the partial regulerity for minimiz- ers of quasiconvex functionals it is unnecessary using whether the approximation theo- rem for W_p^1(G,E^N)fumctions or the related property for the Radon weasures.