CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishMotivated by the asymptotic analysis of double vortex condensates in the Chern-Simons-Higgs theory, we construct a suitable minimizing sequence for a sharp Sobolev inequality "a la MOSER" for two-dimensional compact manifolds. As a consequence, we first obtain a direct proof of the sharp character of such an inequality. Secondly, and more interestingly, we use such minimizing sequence to show that for the flat torus the corresponding extremal problem attains its infimum.
http://hdl.handle.net/11697/12885| Titolo: | On a sharp Sobolev-type inequality on two-dimensional compact manifolds. Arch. Ration. Mech. Anal. 145 (1998), no. 2, 161–195. |
| Autori: | |
| Data di pubblicazione: | 1998 |
| Rivista: | |
| Abstract: | Motivated by the asymptotic analysis of double vortex condensates in the Chern-Simons-Higgs theory, we construct a suitable minimizing sequence for a sharp Sobolev inequality "a la MOSER" for two-dimensional compact manifolds. As a consequence, we first obtain a direct proof of the sharp character of such an inequality. Secondly, and more interestingly, we use such minimizing sequence to show that for the flat torus the corresponding extremal problem attains its infimum. |
| Handle: | http://hdl.handle.net/11697/12885 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
Copyright © 2018