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Supercritical conformal metrics on surfaces with conical singularities

TitleSupercritical conformal metrics on surfaces with conical singularities
Publication TypeJournal Article
Year of Publication2011
AuthorsBardelloni, M, De Marchis, F, Malchiodi, A
JournalInt Math Res Notices (2011) 2011 (24): 5625-5643
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.

URLhttp://hdl.handle.net/1963/4095
DOI10.1093/imrn/rnq285

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