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ArticleOriginal scientific text

Title

On lower semicontinuity of multiple integrals

Authors 1

Affiliations

  1. Institute of Mathematics, University of Warsaw, Banacha 2, 00-097 Warszawa, Poland

Abstract

We give a new short proof of the Morrey-Acerbi-Fusco-Marcellini Theorem on lower semicontinuity of the variational functional ∫ΩF(x,u,∇u)dx. The proofs are based on arguments from the theory of Young measures.

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Colloquium Mathematicum
1997/74/1
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Pages:
71-78
Main language of publication
English
Received
1996-04-01
Accepted
1996-11-27
Published
1997
Exact and natural sciences