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Relaxation and Γ-Convergence of the Energy Functionals of a Two-Phase Elastic Medium

✍ Scribed by A. V. Dem’yanov

Book ID: 106433756
Publisher: Springer US
Year: 2005
Tongue: English
Weight: 124 KB
Volume: 128
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-005-0263-3

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## Abstract We consider the problem of minimizing among functions __u__:ℝ^__d__^⊃Ω→ℝ^__d__^, __u__~∣∂Ω~=0, and measurable subsets __E__ of Ω. Here __f__~__h__~^+^, __f__^−^ denote quadratic potentials defined on Ω¯×{symmetric __d__×__d__ matrices}, __h__ is the minimum energy of __f__~__h__~^+^ an