Supercritical Conformal Metrics on Surfaces with Conical Singularities

被引：69
|
作者：
Bartolucci, Daniele [2 ]
De Marchis, Francesca [1 ]
Malchiodi, Andrea [1 ]
机构：
[1] SISSA, I-34136 Trieste, Italy
[2] Univ Roma Tor Vergata, I-00133 Rome, Italy
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 24期
关键词：
MEAN-FIELD EQUATIONS; GAUSSIAN CURVATURE; LIOUVILLE TYPE; INEQUALITY; EXISTENCE; DEFORMATION; TRUDINGER; BLOW;
D O I：
10.1093/imrn/rnq285
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：5625 / 5643
页数：19
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