|article dans une revue internationale avec comité de lecture|
|Buliga Marius; De Saxce Géry; Vallee Claude|
|Journal of Convex Analysis (Journal of Convex Analysis)|
|81 – 94|
|We show a surprising connexion between a property of the inf convolution of a family of convex lsc 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  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.
|Standard Materials; Contact Problems|