Author:
Cristoferi Riccardo,Gravina Giovanni
Abstract
AbstractA vectorial Modica–Mortola functional is considered and the convergence to a sharp interface model is studied. The novelty of the paper is that the wells of the potential are not constant, but depend on the spatial position in the domain $$\Omega $$
Ω
. The mass constrained minimization problem and the case of Dirichlet boundary conditions are also treated. The proofs rely on the precise understanding of minimizing geodesics for the degenerate metric induced by the potential.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
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