Artículo
Convex and quasiconvex functions in metric graphs
Fecha de publicación:
12/2021
Editorial:
American Institute of Mathematical Sciences
Revista:
Networks and Heterogeneous Media
ISSN:
1556-1801
e-ISSN:
1556-181X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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′′ = 0 on the edges, plus nonlinear transmission conditions at the vertices. We also study the analogous problem for quasiconvex functions and obtain a characterization of the largest quasiconvex function that is below a given datum.
Palabras clave:
CONVEX ENVELOPE
,
CONVEXITY
,
METRIC GRAPH
,
QUASICONVEX ENVELOPE
,
QUASICONVEXITY
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
del Pezzo, Leandro Martin; Frevenza Maestrone, Nicolas Federico; Rossi, Julio Daniel; Convex and quasiconvex functions in metric graphs; American Institute of Mathematical Sciences; Networks and Heterogeneous Media; 16; 4; 12-2021; 591-607
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