Given a domain of and a -dimensional non-degenerate minimal submanifold of with , we prove the existence of a family of embedded constant mean curvature hypersurfaces in which as their mean curvature tends to infinity concentrate along and intersecting perpendicularly along their boundaries.
@article{ASNSP_2008_5_7_3_407_0, 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}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 7}, number = {3}, year = {2008}, zbl = {1171.53010}, mrnumber = {2466435}, language = {en}, url = {archive.numdam.org/item/ASNSP_2008_5_7_3_407_0/} }
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://archive.numdam.org/item/ASNSP_2008_5_7_3_407_0/
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