Supercritical Conformal Metrics on Surfaces with Conical Singularities
- 20 January 2011
- journal article
- research article
- Published by Oxford University Press (OUP) in International Mathematics Research Notices
- Vol. 2011 (24), 5625-5643
- https://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.Keywords
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