| Title | New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Malchiodi, A, Ruiz, D |
| Journal | Geometric and Functional Analysis 21 (2011) 1196-1217 |
| Abstract | We consider a singular Liouville equation on a compact surface, arising from the study of Chern-Simons vortices in a self dual regime. Using new improved versions of the Moser-Trudinger inequalities (whose main feature is to be scaling invariant) and a variational scheme, we prove new existence results. |
| URL | http://hdl.handle.net/1963/4099 |
| DOI | 10.1007/s00039-011-0134-7 |
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