Mathematics – Functional Analysis
Scientific paper
2008-02-08
J. of Convex Analysis 17, No 1. (2010)
Mathematics
Functional Analysis
accepted by the Journal of Convex Analysis
Scientific paper
We show a surprising connexion between a property of the inf convolution of a family of convex lower semicontinuous functions and the fact that the intersection of maximal cyclically monotone graphs is the critical set of a bipotential. We then extend the results from arXiv:math/0608424v4 to bipotentials convex covers, generalizing the notion of a bi-implicitly convex lagrangian cover. As an application we prove that the bipotential related to Coulomb's friction law is related to a specific bipotential convex cover with the property that any graph of the cover is non maximal cyclically monotone.
Buliga Marius
Saxce Gery de
Vallee Claude
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