MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Approximation of the Helfrich's functional via Diffuse Interfaces

Giovanni Bellettini and Luca Mugnai


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.

Nov 25, 2009
Nov 25, 2009
MSC Codes:
49J45, 34K26, 49Q1

Related publications

2010 Repository Open Access
Giovanni Bellettini and Luca Mugnai

Approximation of Helfrich's functional via diffuse interfaces

In: SIAM journal on mathematical analysis, 42 (2010) 6, pp. 2402-2433