Analysis of concentration and oscillation effects generated by gradients

被引：114

作者：

Fonseca, I ^{[1
]}

Muller, S

Pedregal, P

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

[2] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

[3] Univ Castilla La Mancha, ETSI Ind, E-13071 Ciudad Real, Spain

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1998年 / 29卷 / 03期

关键词：

oscillations; concentrations; Young measures; varifolds; quasiconvexity;

D O I：

10.1137/S0036141096306534

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general theorem characterizing the interaction of concentrations and oscillations effects associated with sequences of gradients bounded in L-p, p > 1, is proved. The oscillations are recorded in the Young measure while the concentrations are encoded in the varifold.

引用

页码：736 / 756

页数：21

共 41 条

[1] SEMICONTINUITY PROBLEMS IN THE CALCULUS OF VARIATIONS [J].