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.

引用

页码：5625 / 5643

页数：19

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