Non maximal cyclically monotone graphs and construction of a bipotential for the Coulomb’s dry friction law
نویسندگان
چکیده
We show a surprising connexion between a property of the inf convolutions of a family of convex lower semicontinuous functions and the fact that intersections of maximal cyclically monotone graphs are the critical set of a bipotential. We then extend the results from [4] 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.
منابع مشابه
Existence and construction of bipotentials for graphs of multivalued laws
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