IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Convex Envelopes on Trees
Autor/es:
DEL PEZZO, LEANDRO; ROSSI, JULIO D.; FREVENZA, NICOLAS
Revista:
JOURNAL OF CONVEX ANALYSIS
Editorial:
HELDERMANN VERLAG
Referencias:
Lugar: Lemgo; Año: 2020
ISSN:
0944-6532
Resumen:
We introduce two notions of convexity for an infinite regular tree. For these two notions we show that given a continuous boundary datum there exists a unique convex envelope on the tree and characterize the equation that this envelope satisfies. We also relate the equation with two versions of the Laplacian on the tree. Moreover, for a function defined on the tree, the convex envelope turns out to be the solution to the obstacle problem for this equation.
