Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory

被引：3
|
作者：
Jevnikar, Aleks [1 ]
Malchiodi, Andrea [2 ]
Wu, Ruijun [2 ]
机构：
[1] Univ Udine, Dept Math Comp Sci & Phys, Via Sci 206, I-33100 Udine, Italy
[2] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy
来源：
JOURNAL OF MATHEMATICAL STUDY | 2021年 / 54卷 / 01期
关键词：
Super-Liouville equations; existence results; bifurcation theory; critical groups; QUANTUM GEOMETRY; CURVATURE;
D O I：
10.4208/jms.v54n1.21.05
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are concerned with super-Liouville equations on S-2, which have variational structure with a strongly-indefinite functional. We prove the existence of nontrivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.
引用
收藏
页码：89 / 122
页数：34
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