Volume 5, 2000
|Page(s)||539 - 577|
|Published online||15 August 2002|
A-Quasiconvexity: Relaxation and Homogenization
SISSA, Trieste, Italy; email@example.com.
2 Department of MathematicalSciences, Carnegie-Mellon University, Pittsburgh, PA, U.S.A.; firstname.lastname@example.org.
3 Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale, Alessandria, Italy; email@example.com.
Revised: 26 September 2000
Integral representation of relaxed energies and of Γ-limits of functionals are obtained when sequences of fields v may develop oscillations and are constrained to satisfy a system of first order linear partial differential equations. This framework includes the treatement of divergence-free fields, Maxwell's equations in micromagnetics, and curl-free fields. In the latter case classical relaxation theorems in W1,p, are recovered.
Mathematics Subject Classification: 35D99 / 35E99 / 49J45
Key words: 𝓐-quasiconvexity / equi-integrability / Young measure / relaxation / Γ-convergence / homogenization.
© EDP Sciences, SMAI, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.