Convex and quasiconvex functions in metric graphs

We study convex and quasiconvex functions on a metric graph. Given a set of points in the metric graph, we consider the largest convex function below the prescribed datum. We characterize this largest convex function as the unique largest viscosity subsolution to a simple differential equation, $ u&...

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Bibliographic Details

Published in:	Networks and Heterogeneous Media
Main Authors:	Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi
Format:	Article
Language:	English
Published:	AIMS Press 2021-06-01
Subjects:	convexity quasiconvexity metric graph convex envelope quasiconvex envelope
Online Access:	https://www.aimspress.com/article/doi/10.3934/nhm.2021019