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A Young measure approach to a nonlinear membrane model involving the bending moment

Published online by Cambridge University Press:  12 July 2007

Marian Bocea  and
Irene Fonseca
Marian Bocea
Affiliation:
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA (fonseca@andrew.cmu.edu)
Irene Fonseca
Affiliation:
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA (fonseca@andrew.cmu.edu)
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Abstract

An integral representation of a relaxed functional arising in the derivation of a nonlinear membrane model accounting for the density of bending moments is obtained in terms of a special class of parametrized probability measures (bending Young measures). A complete characterization of this class is given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 5 , October 2004 , pp. 845 - 883
Copyright
Copyright © Royal Society of Edinburgh 2004

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