关于捏合条件下 Sn 上的规定分数 Q 曲线问题

IF 0.6 4区数学 Q3 MATHEMATICS Differential Geometry and its Applications Pub Date : 2024-01-03 DOI:10.1016/j.difgeo.2023.102103

Zhongwei Tang , Ning Zhou

引用次数: 0

摘要

本文研究了 n 维标准球（Sn,g0）上阶为 2σ 的规定分数 Q 曲线问题，其中 n≥3, σ∈（0,n-22）。通过将无穷临界点方法与莫尔斯理论相结合，我们在合适的捏合条件下得到了新的存在性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the prescribed fractional Q-curvatures problem on Sn under pinching conditions

In this paper, we study the prescribed fractional Q-curvatures problem of order 2σ on the n-dimensional standard sphere $(S^{n}, g_{0})$ , where $n \geq 3$ , $σ \in (0, \frac{n - 2}{2})$ . By combining critical points at infinity approach with Morse theory we obtain new existence results under suitable pinching conditions.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.

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