Bubbling and regularity issues in geometric non-linear analysis
| dc.creator | Rivière, Tristan | |
| dc.date | 2003-04-24 | |
| dc.date.accessioned | 2026-07-07T04:57:23Z | |
| dc.date.available | 2026-07-07T04:57:23Z | |
| dc.description | Numerous elliptic and parabolic variational problems arising in physics and geometry (Ginzburg-Landau equations, harmonic maps, Yang-Mills fields, Omega-instantons, Yamabe equations, geometric flows in general...) possess a critical dimension in which an invariance group (similitudes, conformal groups) acts. This common feature generates, in all these different situations, the same non-linear effect. One observes a strict splitting in space between an almost linear regime and a dominantly non-linear regime which has two major characteristics : it requires a quantized amount of energy and arises along rectifiable objects of special geometric interest (geodesics, minimal surfaces, J-holomorphic curves, special Lagrangian manifolds, mean-curvature flows...). | |
| dc.identifier | https://arxiv.org/abs/math/0304396 | |
| dc.identifier | http://arxiv.org/abs/math/0304396 | |
| dc.identifier | Proceedings of the ICM, Beijing 2002, vol. 3, 197--208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67244 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35D10, 35J20, 35J60, 49Q20, 58E15, 58E20 | |
| dc.title | Bubbling and regularity issues in geometric non-linear analysis | |
| dc.type | text |