Minimizers of Dirichlet functionals on the n-torus and the Weak KAM Theory
| dc.creator | Wolansky, Gershon | |
| dc.date | 2007-02-25 | |
| dc.date | 2007-11-17 | |
| dc.date.accessioned | 2026-07-07T08:43:30Z | |
| dc.date.available | 2026-07-07T08:43:30Z | |
| dc.description | Given a probability measure $μ$ on the $n-$torus $T^n$ and a rotation vector $k\in R^n$, we ask wether there exists a minimizer to the integral $\int_{T^n} |\gradϕ+k|^2 dμ$. This problem leads, naturally, to a class of elliptic PDE and to an optimal transportation (Monge-Kantorovich) class of problems on the torus. It is also related to higher dimensional Aubry-Mather theory, dealing with invariant sets of periodic Lagrangians, and is known as the "Weak-KAM theory". | |
| dc.description | 35 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0702743 | |
| dc.identifier | http://arxiv.org/abs/math/0702743 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142336 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 49K20, 65K10, 90C47 | |
| dc.title | Minimizers of Dirichlet functionals on the n-torus and the Weak KAM Theory | |
| dc.type | text |