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From constant mean curvature hypersurfaces to the gradient theory of phase transitions

Frank Pacard·Manuel Ritoré
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Abstract

We construct solutions of the Cahn-Hilliard equation whose nodal set converges to a given constant mean curvature hypersurface in a Riemannian manifold.

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Frank Pacard, Manuel Ritoré. 2003-02-13. From constant mean curvature hypersurfaces to the gradient theory of phase transitions. https://arxiv.org/abs/math/0302160

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