Dimensional reduction for supremal functionals
Author(s) -
JeanFrançois Babadjian,
Francesca Prinari,
Elvira Zappale
Publication year - 2012
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2012.32.1503
Subject(s) - limit (mathematics) , representation (politics) , mathematics , reduction (mathematics) , convergence (economics) , pure mathematics , representation theorem , discrete mathematics , mathematical analysis , geometry , politics , political science , law , economics , economic growth
A 3D-2D dimensional reduction analysis for supremal functionals is performed in\udthe realm of Gamma*-convergence. We show that the limit functional still admits a supremal representation, and we provide a precise identification of its density in some particular cases. Our results\udrely on an abstract representation theorem for the Gamma*-limit of a family of supremal functionals
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