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

Frank Pacard (1) , Manuel Ritoré

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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

Domaines: Géométrie différentielle [math.DG]; Equations aux dérivées partielles [math.AP]

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⟩