Compactness analysis for free boundary minimal hypersurfaces

By L. Ambrozio, Alessandro Carlotto, B. Sharp. 2017

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/9c6900d3cc00021a8951538f422a3fff0a60f71f