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.

Compactness analysis for free boundary minimal hypersurfaces / Ambrozio, L.; Carlotto, A.; Sharp, B.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 57:1(2018). [10.1007/s00526-017-1281-y]

Compactness analysis for free boundary minimal hypersurfaces

Carlotto A.;
2018-01-01

Abstract

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.
2018
1
Ambrozio, L.; Carlotto, A.; Sharp, B.
Compactness analysis for free boundary minimal hypersurfaces / Ambrozio, L.; Carlotto, A.; Sharp, B.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 57:1(2018). [10.1007/s00526-017-1281-y]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/378260
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