English

Approximation of the Helfrich's functional via Diffuse Interfaces

Analysis of PDEs 2009-10-30 v2

Abstract

We give a rigorous proof of the approximability of the so-called Helfrich's functional via diffuse interfaces, under a constraint on the ratio between the bending rigidity and the Gauss-rigidity.

Keywords

Cite

@article{arxiv.0910.5645,
  title  = {Approximation of the Helfrich's functional via Diffuse Interfaces},
  author = {Giovanni Bellettini and Luca Mugnai},
  journal= {arXiv preprint arXiv:0910.5645},
  year   = {2009}
}
R2 v1 2026-06-21T14:04:55.183Z