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MiS Preprint
6/2007

The Wulff Problem For Diffuse Interface

Guido Manzi

Abstract

We consider the non local free energy functional defined in "Bellettini, G., De Masi, A. and E. Presutti: Energy levels of critical points of a nonlocal" and we study its $\inf$ over the class of functions with zero average (Wulff problem). We prove that the $\inf$ is a minimum achieved on a particular antisymmetric strictly increasing function called the finite volume instanton. The result can be interpreted as an extension of the Wulff theorem to a not sharp interface.

Received:
Jan 23, 2007
Published:
Jan 23, 2007
MSC Codes:
74A50, 82C24
Keywords:
diffuse interface, tunneling

Related publications

inJournal
2007 Repository Open Access
Guido Manzi

The Wulff problem for diffuse interfaces

In: Zeitschrift fuer Analysis und ihre Anwendungen, 26 (2007) 3, pp. 261-275