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New improved Moser–Trudinger inequalities and singular Liouville equations on compact surfaces
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Malchiodi, A. and Ruiz, David (2011) New improved Moser–Trudinger inequalities and singular Liouville equations on compact surfaces. Geometric and Functional Analysis, Vol.21 (No.5). pp. 1196-1217. doi:10.1007/s00039-011-0134-7 ISSN 1016-443X.
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Official URL: http://dx.doi.org/10.1007/s00039-011-0134-7
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Geometric and Functional Analysis | ||||
Publisher: | Birkhaeuser Verlag AG | ||||
ISSN: | 1016-443X | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.21 | ||||
Number: | No.5 | ||||
Page Range: | pp. 1196-1217 | ||||
DOI: | 10.1007/s00039-011-0134-7 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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