Geodesic
Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 7 (2008) no. 3, pp. 407-446 Cet article a éte moissonné depuis la source Numdam

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Given a domain Ω of ℝ m+1 and a k-dimensional non-degenerate minimal submanifold K of ∂Ω with 1≤k≤m-1, we prove the existence of a family of embedded constant mean curvature hypersurfaces in Ω which as their mean curvature tends to infinity concentrate along K and intersecting ∂Ω perpendicularly along their boundaries.

Classification : 53A10, 53C21, 35R35 
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     author = {Fall, Mouhamed Moustapha and Mahmoudi, Fethi},
     title = {Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {407--446},
     year = {2008},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 7},
     number = {3},
     mrnumber = {2466435},
     zbl = {1171.53010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_3_407_0/}
}
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Fall, Mouhamed Moustapha; Mahmoudi, Fethi. Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 7 (2008) no. 3, pp. 407-446. http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_3_407_0/