Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature

Paolo Caldiroli; Gabriele Cora; Alessandro Iacopetti

Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature

Differential Geometry 2022-11-07 v1 Analysis of PDEs

Authors: Paolo Caldiroli , Gabriele Cora , Alessandro Iacopetti

Abstract

We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions of unduloids or nodoids in $\mathbb{R}^{3}$ , and whose boundary consists of two coaxial circles of the same radius.

Keywords

annular surfaces fixed boundary almost constant mean curvature unduloids nodoids existence and nonexistence

Cite

@article{arxiv.2211.02511,
  title  = {Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature},
  author = {Paolo Caldiroli and Gabriele Cora and Alessandro Iacopetti},
  journal= {arXiv preprint arXiv:2211.02511},
  year   = {2022}
}

Comments

33 pages

Related papers

View all related →