Homogenization of Maximal Monotone Vector Fields via Selfdual Variational Calculus
Abstract: We use the theory of selfdual Lagrangians to give a variational approach to the homogenization of equations in divergence form, that are driven by a periodic family of maximal monotone vector fields. The approach has the advantage of using Γ-convergence methods for corresponding functionals just as in the classical case of convex potentials, as opposed to the graph convergence methods used in the absence of potentials. A new variational formulation for the homogenized equation is also given.
- Location
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                Deutsche Nationalbibliothek Frankfurt am Main
 
- Extent
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                Online-Ressource
 
- Language
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                Englisch
 
- Bibliographic citation
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                Homogenization of Maximal Monotone Vector Fields via Selfdual Variational Calculus ; volume:11 ; number:2 ; year:2011 ; pages:323-360 ; extent:38
Advanced nonlinear studies ; 11, Heft 2 (2011), 323-360 (gesamt 38)
 
- Creator
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                Ghoussoub, Nassif
Moameni, Abbas
Sáiz, Ramón Zárate
 
- DOI
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                        10.1515/ans-2011-0206
 
- URN
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                        urn:nbn:de:101:1-2405021701065.546448459244
 
- Rights
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                        Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
 
- Last update
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                        14.08.2025, 10:57 AM CEST
 
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Associated
- Ghoussoub, Nassif
 - Moameni, Abbas
 - Sáiz, Ramón Zárate