Compactness analysis for free boundary minimal hypersurfaces

被引：28

作者：

Ambrozio, Lucas ^{[1
]}

Carlotto, Alessandro ^{[2
]}

Sharp, Ben ^{[1
]}

机构：

[1] Univ Warwick, Gibbet Hill Rd, Coventry CV4 7AL, W Midlands, England

[2] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 57卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

CONVEX; 3-MANIFOLDS; RICCI CURVATURE; SURFACES; SPACE; THEOREM; SUBMANIFOLDS; STATIONARY; EIGENVALUE; REGULARITY; EXISTENCE;

D O I：

10.1007/s00526-017-1281-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate compactness phenomena involving free boundary minimal hypersurfaces in Riemannian manifolds of dimension less than eight. We provide natural geometric conditions that ensure strong one-sheeted graphical subsequential convergence, discuss the limit behaviour when multi-sheeted convergence happens and derive various consequences in terms of finiteness and topological control.

引用

页数：39

共 45 条

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