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}, publisher = {Elsevier}, volume = {29}, number = {1}, year = {2012}, doi = {10.1016/j.anihpc.2011.09.004}, zbl = {1242.53009}, language = {en}, url = {http://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 - http://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 http://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, Volume 29 (2012) no. 1, pp. 109-129. doi : 10.1016/j.anihpc.2011.09.004. http://www.numdam.org/articles/10.1016/j.anihpc.2011.09.004/
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