| dc.creator | del Pezzo, Leandro Martin | |
| dc.creator | Frevenza Maestrone, Nicolas Federico | |
| dc.creator | Rossi, Julio Daniel | |
| dc.date.accessioned | 2021-07-26T12:56:57Z | |
| dc.date.accessioned | 2022-10-15T11:47:57Z | |
| dc.date.available | 2021-07-26T12:56:57Z | |
| dc.date.available | 2022-10-15T11:47:57Z | |
| dc.date.created | 2021-07-26T12:56:57Z | |
| dc.date.issued | 2020-11 | |
| dc.identifier | del Pezzo, Leandro Martin; Frevenza Maestrone, Nicolas Federico; Rossi, Julio Daniel; Convex Envelopes on Trees; Heldermann Verlag; Journal Of Convex Analysis; 27; 4; 11-2020; 1195-1218 | |
| dc.identifier | 0944-6532 | |
| dc.identifier | http://hdl.handle.net/11336/136901 | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4382552 | |
| dc.description.abstract | 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. | |
| dc.language | eng | |
| dc.publisher | Heldermann Verlag | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1904.05322 | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | CONVEXITY ON GRAPHS | |
| dc.subject | LAPLACIAN ON GRAPHS | |
| dc.subject | CONVEX ENVELOPES | |
| dc.title | Convex Envelopes on Trees | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
