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

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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https://hal.archives-ouvertes.fr/hal-00127008
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Submitted on : Saturday, January 27, 2007 - 3:57:09 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

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Frank Pacard, Manuel Ritoré. From constant mean curvature hypersurfaces to the gradient theory of phase transitions. Journal of Differential Geometry, 2003, 64, pp.359-423. ⟨hal-00127008⟩

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