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Supercritical conformal metrics on surfaces with conical singularities
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Bartolucci, D., De Marchis, F. and Malchiodi, A. (2011) Supercritical conformal metrics on surfaces with conical singularities. International Mathematics Research Notices, Vol.24 . pp. 5625-5643. doi:10.1093/imrn/rnq285 ISSN 1073-7928.
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Official URL: http://dx.doi.org/10.1093/imrn/rnq285
Abstract
We study the problem of prescribing the Gaussian curvature on surfaces with conical singularities in supercritical regimes. Using a Morse-theoretical approach, we prove a general existence theorem on surfaces with positive genus, with a generic multiplicity result.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | International Mathematics Research Notices | ||||
Publisher: | Oxford University Press | ||||
ISSN: | 1073-7928 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.24 | ||||
Page Range: | pp. 5625-5643 | ||||
DOI: | 10.1093/imrn/rnq285 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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