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 = {http://archive.numdam.org/item/ASNSP_2008_5_7_3_407_0/}
}
TY - JOUR AU - Fall, Mouhamed Moustapha AU - Mahmoudi, Fethi TI - Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2008 DA - 2008/// SP - 407 EP - 446 VL - Ser. 5, 7 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://archive.numdam.org/item/ASNSP_2008_5_7_3_407_0/ UR - https://zbmath.org/?q=an%3A1171.53010 UR - https://www.ams.org/mathscinet-getitem?mr=2466435 LA - en ID - ASNSP_2008_5_7_3_407_0 ER -
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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