New existence results for prescribed mean curvature problem on balls under pinching conditions

被引：0

作者：

Fourti, Habib ^{[1
,2
]}

机构：

[1] Univ Monastir, Fac Sci, Monastir 5019, Tunisia

[2] Univ Sfax, Fac Sci, Lab LR13ES21, Sfax 3000, Tunisia

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2022年 / 83卷

关键词：

Non compact variational problem; Mean curvature; Critical points at infinity; Topological methods; Infinite dimensional Morse theory; SCALAR-CURVATURE; CONFORMAL METRICS; SOBOLEV INEQUALITIES; UNIQUENESS THEOREMS; PERTURBATION RESULT; S-N; FLOW;

D O I：

10.1016/j.difgeo.2022.101901

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a kind of Yamabe problem whose scalar curvature vanishes in the unit ball B-n and on the boundary Sn-1 the mean curvature is prescribed. By combining critical points at infinity approach with Morse theory we obtain new existence results in higher dimensional case n >= 5, under suitable pinching conditions on the mean curvature function. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：17

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