Annals of Global Analysis and Geometry, volume 66, issue 4, publication number 17

A critical perturbation result in prescribing scalar curvature under boundary conditions

Azeb Alghanemi ¹

Aymen Bensouf ²

HICHEM CHTIOUI ³

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Department of mathematics, King Abdulaziz university, Jeddah, Saudi Arabia |

Department of Mathematics, Faculty of Sciences of Gafsa, Gafsa, Tunisia |

Department of Mathematics, Sfax University, Sfax, Tunisia |

Publication type: Journal Article

Publication date: 2024-10-07

Springer Nature

Journal: Annals of Global Analysis and Geometry

scimago Q2

SJR: 0.587

CiteScore: 1.2

Impact factor: 0.6

ISSN: 0232704X, 15729060

DOI: 10.1007/s10455-024-09976-7

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Abstract

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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Publisher

Springer Nature

Journal

Annals of Global Analysis and Geometry

scimago Q2

SJR

0.587

CiteScore

1.2

Impact factor

0.6

ISSN

0232704X (Print)

15729060 (Electronic)