Construction of bipotentials and a minimax theorem of Fan
| dc.creator | Buliga, Marius | |
| dc.creator | de Saxce, Gery | |
| dc.creator | Vallee, Claude | |
| dc.date | 2006-10-04 | |
| dc.date | 2007-02-23 | |
| dc.date.accessioned | 2026-07-07T07:48:12Z | |
| dc.date.available | 2026-07-07T07:48:12Z | |
| dc.description | In Mechanics, the theory of standard materials is a well-known application of Convex Analysis. However, the so-called non-associated constitutive laws cannot be cast in the mould of the standard materials. From the mathematical viewpoint, a non associated constitutive law is a multivalued operator which is not supposed to be monotone. A possible way to study non-associated constitutive laws by using Convex Analysis, proposed first in [12], consists in constructing a "bipotential" function of two variables, which physically represents the dissipation. This is a second paper on the mathematics of the bipotentials, following math.FA/0608424 . We prove here another reconstruction theorem for a bipotential from a convex lagrangian cover, this time using a convexity notion related to a minimax theorem of Fan. | |
| dc.identifier | https://arxiv.org/abs/math/0610136 | |
| dc.identifier | http://arxiv.org/abs/math/0610136 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124411 | |
| dc.subject | Functional Analysis | |
| dc.subject | 49J53; 49J52; 26B25 | |
| dc.title | Construction of bipotentials and a minimax theorem of Fan | |
| dc.type | text |