Asymptotic analysis for surfaces with large constant mean curvature and free boundaries
Paul Laurain
UMPA, 46 allée dʼItalie, Lyon, France
Abstract
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.
Cite this article
Paul Laurain, Asymptotic analysis for surfaces with large constant mean curvature and free boundaries. Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 1, pp. 109–129
DOI 10.1016/J.ANIHPC.2011.09.004