边界条件下规定标量曲率的临界扰动结果

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2024-10-07 DOI:10.1007/s10455-024-09976-7

Azeb Alghanemi, Aymen Bensouf, Hichem Chtioui

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引用次数: 0

摘要

我们考虑的问题是在具有规定标量曲率和零边界平均曲率的标准半球上寻找保角度量。我们证明了当曲率函数在其边界临界点附近平坦时的扰动结果。作为一个乘积，我们扩展了之前一些众所周知的结果，并提供了一个全新的结果。

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A critical perturbation result in prescribing scalar curvature under boundary conditions

We consider the problem of finding conformal metrics on the standard half sphere with prescribed scalar curvature and zero-boundary mean curvature. We prove a perturbation result when the curvature function is flat near its boundary critical points. As a product we extend some previous well known results and provide an entirely new one.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.