Functionals with the H-property in the Sobolev space W11

被引：1

作者：

Leonov, AS ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow Phys Engn Inst, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2004年 / 195卷 / 5-6期

关键词：

D O I：

10.1070/SM2004v195n06ABEH000829

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Special classes of convex functionals in the Sobolev space W-1(1) are under consideration. Functionals in these classes are shown to have the so-called H-property: if a sequence of points in the domain of a functional converges weakly and the values of the functional at these points converge, then this sequence converges strongly in W-1(1).

引用

页码：879 / 896

页数：18