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Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.41 (2009) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4011
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| Title: | Variational Theory for Liouville Equations with Singularities |
| Authors: | Malchiodi, Andrea |
| Keywords: | Geometric PDEs
Variational Methods
Min-Max Schemes |
| Issue Date: | 2009 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | Andrea Malchiodi, "Variational Theory for Liouville Equations with Singularities”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 41 (2009), pp. 85–95. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
41 (2009) |
| Abstract: | In this note we consider a singular Liouville equation on
compact surfaces, arising from the study of Chern-Simons vortices. Using
improved versions of the Moser-Trudinger inequality and a min-max
scheme, we prove existence of solutions in cases with lack of coercivity.
Full details and further references can be found in the forthcoming
paper [17]. |
| URI: | http://hdl.handle.net/10077/4011 |
| ISSN: | 0049-4704 |
| MS Classification 2000: | 53A30
53C21
35J35
35B33 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.41 (2009)
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