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