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Variational methods for singular Liouville equations
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Malchiodi, A. (2010) Variational methods for singular Liouville equations. Rendiconti di Matematica e delle Sue Applicazioni, Vol.21 . pp. 349-358. doi:10.4171/RLM/577 ISSN 1120-7183 .
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Abstract
In this note we review some results obtained in [17] concerning singular Liouville equations on compact surfaces, motivated by the problem of prescribing the Gaussian curvature with conical singularities or from the study of abelian self-dual Chern-Simons vortices. We exploit the variational structure of the problem and prove existence in some non coercive cases, using improved Moser-Trudinger inequalities and variational arguments.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Rendiconti di Matematica e delle Sue Applicazioni | ||||
Publisher: | D E A Mediagroup | ||||
ISSN: | 1120-7183 | ||||
Book Title: | Dynamics, Games and Science II | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.21 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 349-358 | ||||
DOI: | 10.4171/RLM/577 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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