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.
Bartolucci, D., De Marchis, F., Malchiodi, A. (2011). Supercritical conformal metrics on surfaces with conical singularities. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011(24), 5625-5643 [doi:10.1093/imrn/rnq285].
Supercritical conformal metrics on surfaces with conical singularities
BARTOLUCCI, DANIELE;
2011-01-01
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.File in questo prodotto:
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