Calculus of Variations and Geometric Measure Theory
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G. Leoni - R. Murray

Second-Order $\Gamma$-limit for the Cahn-Hilliard Functional

created by murray on 25 Mar 2015
modified on 02 Aug 2015


Submitted Paper

Inserted: 25 mar 2015
Last Updated: 2 aug 2015

Journal: Archive of Rational Mechanics and Analysis
Year: 2015


The goal of this paper is to solve a long standing open problem, namely, the asymptotic development of order $2$ by $\Gamma$-convergence of the mass-constrained Cahn-Hilliard functional. This is achieved by introducing a novel rearrangement technique, which works without Dirichlet boundary conditions.


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