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

页码：89 / 122

页数：34

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