Séminaire de GéométrieExistence of nonparametric solutions for a capillary problem in warped products
Gabriela Wanderley (Fortalese, Brésil et Marne-la-Vallée)
vendredi 11 avril 2014 14:00 - Tours - Salle 1180 (Bât E2)
We prove that there exist solutions for a non-parametric capillary problem in a wide class of Riemannian manifolds endowed with a Killing vector field. In other terms, we prove the existence of Killing graphs with prescribed mean curvature and prescribed contact angle along its boundary. These results may be useful for modelling stationary hypersurfaces under the influence of a non-homogeneous gravitational field defined over an arbitrary Riemannian manifold.