English

Asymptotic analysis for surfaces with large constant mean curvature and free boundaries

Differential Geometry 2022-11-23 v1

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.

Keywords

Cite

@article{arxiv.2211.11806,
  title  = {Asymptotic analysis for surfaces with large constant mean curvature and free boundaries},
  author = {Paul Laurain},
  journal= {arXiv preprint arXiv:2211.11806},
  year   = {2022}
}