A note on the existence of H-bubbles via perturbation methods

Veronica Felli

A note on the existence of H-bubbles via perturbation methods

Analysis of PDEs 2007-05-23 v3 Differential Geometry

Authors: Veronica Felli

Abstract

We study the problem of existence of surfaces in ${\bf R}^3$ parametrized on the sphere ${\mathbb S}^2$ with prescribed mean curvature $H$ in the perturbative case, i.e. for $H=H_0+\epsilon H_1$ , where $H_0$ is a nonzero constant, $H_1$ is a $C^2$ function and $\epsilon$ is a small perturbation parameter.

Keywords

surfaces with constant mean curvature hypersurfaces sphere packings and spherical designs

Cite

@article{arxiv.math/0301265,
  title  = {A note on the existence of H-bubbles via perturbation methods},
  author = {Veronica Felli},
  journal= {arXiv preprint arXiv:math/0301265},
  year   = {2007}
}

Comments

14 pages

Related papers

View all related →