The Equivariant Second Yamabe Constant

被引：7

作者：

Henry, Guillermo ^{[1
,2
]}

Madani, Farid ^{[3
]}

机构：

[1] Univ Buenos Aires, FCEyN, Dept Matemat, Ciudad Univ,Pab 1,C1428EHA, Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina

[3] Goethe Univ Frankfurt, Inst Math, Robert Mayer Str 10, D-60325 Frankfurt, Germany

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2018年 / 28卷 / 04期

关键词：

Equivariant Yamabe constants; Yamabe equation; Nodal solutions; NODAL SOLUTIONS; SCALAR CURVATURE; EQUATIONS;

D O I：

10.1007/s12220-017-9978-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a closed Riemannian manifold of dimension and a subgroup G of the isometry group, we define and study the G-equivariant second Yamabe constant and obtain some results on the existence of G-invariant nodal solutions of the Yamabe equation.

引用

页码：3747 / 3774

页数：28

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