We prove that simply connected H-surfaces with bounded area and free boundary in a domain necessarily concentrate at a critical point of the mean curvature of the boundary of this domain.
@article{AIHPC_2012__29_1_109_0,
author = {Laurain, Paul},
title = {Asymptotic analysis for surfaces with large constant mean curvature and free boundaries},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {109--129},
year = {2012},
publisher = {Elsevier},
volume = {29},
number = {1},
doi = {10.1016/j.anihpc.2011.09.004},
zbl = {1242.53009},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2011.09.004/}
}
TY - JOUR AU - Laurain, Paul TI - Asymptotic analysis for surfaces with large constant mean curvature and free boundaries JO - Annales de l'I.H.P. Analyse non linéaire PY - 2012 SP - 109 EP - 129 VL - 29 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2011.09.004/ DO - 10.1016/j.anihpc.2011.09.004 LA - en ID - AIHPC_2012__29_1_109_0 ER -
%0 Journal Article %A Laurain, Paul %T Asymptotic analysis for surfaces with large constant mean curvature and free boundaries %J Annales de l'I.H.P. Analyse non linéaire %D 2012 %P 109-129 %V 29 %N 1 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpc.2011.09.004/ %R 10.1016/j.anihpc.2011.09.004 %G en %F AIHPC_2012__29_1_109_0
Laurain, Paul. Asymptotic analysis for surfaces with large constant mean curvature and free boundaries. Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 1, pp. 109-129. doi: 10.1016/j.anihpc.2011.09.004
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