Prescribing Morse Scalar Curvatures

被引：0
|
作者：
Malchiodi, Andrea [1 ]
机构：
[1] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-50126 Pisa, Italy
来源：
MILAN JOURNAL OF MATHEMATICS | 2023年 / 91卷 / 01期
关键词：
Geometric PDEs; Variational methods; Blow-up analysis; S-N; CONFORMAL DEFORMATION; ELLIPTIC-EQUATIONS; LOCAL BEHAVIOR; EXISTENCE; METRICS; PERTURBATION; FLOW;
D O I：
10.1007/s00032-022-00374-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we survey some results on the classical Kazdan-Warner problem, consisting in the conformal prescription of the scalar curvature of a Riemannian manifold. We show how the existence problem can be attacked using a combination of different techniques involving variational theory, asymptotic analysis and Morse-theoretical tools.
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页码：1 / 29
页数：29
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