Characterization of the behavior of integral functionals on weakly convergent sequences in terms of the theory of Young measures
type: Item
instance of: scholarly article
title: Characterization of the behavior of integral functionals on weakly convergent sequences in terms of the theory of Young measures
zbMATH Open document ID: 0971.49003
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: This paper deals with integral functionals of the form \(I(u)=\int_\Omega L(x,u(x),Du(x)) dx\) with \(L:R^n\times R^m\times R^{nm}\to R \). The author gives a review on lower semicontinuity results for such functionals, for the weak topology of Sobolev spaces. A characterization of \(p\)-gradient Young measures is also established.
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 1557545
zbMATH Keywords: integral functionals
zbMATH Keywords: lower semicontinuity
zbMATH Keywords: Young measures
author: M. A. Sychev
reviewed by: J-P Raymond
MaRDI profile type: Publication
Recommended article: Young measure approach to characterization of behaviour of integral functionals on weakly convergent sequences by means of their integrands
Recommended article: Weak Convergence of Integrands and the Young Measure Representation
Recommended article: Young measures, weak and strong convergence and the Visintin-Balder theorem
Recommended article: Q3983127
Recommended article: Weak convergence and weak compactness in the space of integrable functions with respect to a vector meansure
Recommended article: Q3787210
Recommended article: Measurability and integrability of the weak upper limit of a sequence of multifunctions
Recommended article: Q3828235
Recommended article: Q4944356
Recommended article: Weak convergence of asymptotically homogeneous functions of measures
description: scientific article; zbMATH DE number 1557545