| Title | Sharp Inequalities and Blow-up Analysis for Singular Moser-Trudinger Embeddings. |
| Publication Type | Thesis |
| Year of Publication | 2015 |
| Authors | Mancini, G |
| University | SISSA |
| Keywords | Moser-Trudinger |
| Abstract | We investigate existence of solutions for a singular Liouville equation on S^2 and prove sharp Onofri-type inequalities for a Moser-Trudinger functional in the presence of singular potentials. As a consequence we obtain existence of extremal functions for the Moser-Trudinger embedding on compact surfaces with conical singularities. Finally we study the blow-up behavior for sequences of solutions Liouville-type systems and prove a compactness condition which plays an important role in the variational analysis of Toda systems. |
| Custom 1 | 34738 |
| Custom 2 | Mathematics |
| Custom 4 | 1 |
| Custom 5 | MAT/05 |
| Custom 6 | Submitted by gmancini@sissa.it (gmancini@sissa.it) on 2015-09-22T12:27:17Z |
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