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Variational theory for Liouville equations with singularities
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Malchiodi, A. (2009) Variational theory for Liouville equations with singularities. Rendiconti dell'Istituto di Matematica dell'Università di Trieste , Vol.41 . pp. 85-95.
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Official URL: http://rendiconti.dmi.units.it/node/4/5600
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
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste | ||||
Publisher: | Universita degli Studi di Trieste * Edizioni Universita di Trieste (E U T) | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.41 | ||||
Page Range: | pp. 85-95 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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