The Non-degenerate Condition for Prescribed Q Curvature Problem on Sn

被引：0

作者：

Zhang, Shihong ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 05期

关键词：

Q curvature; existence; finite dimensional reduction; GAUSSIAN CURVATURE; METRICS;

D O I：

10.1007/s00025-024-02216-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For n >= 2, we consider the equation P(Sn)u + 2Q(gSn) = 2Q(g)e(nu) on S-n. (0.1) In general, we always assume the non-degenerate condition for Eq. (0.1), i.e., |del(gSn)Q(g)|(2) + (Delta(gSn)Q(g))(2) not equal 0 on S-n. (0.2) However, in this paper, we provide some nontrivial examples that do not satisfy condition (0.2); nevertheless, Eq. (0.1) still has at least one solution.

引用

页数：15

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