Approximation of the Helfrich's functional via Diffuse Interfaces
Giovanni Bellettini and Luca Mugnai
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Submission date: 25. Nov. 2009
published in: SIAM journal on mathematical analysis, 42 (2010) 6, p. 2402-2433
DOI number (of the published article): 10.1137/09077549X
with the following different title: Approximation of Helfrich's functional via diffuse interfaces
MSC-Numbers: 49J45, 34K26, 49Q1
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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.