Existence of nonparametric solutions for a capillary problem in warped products


Event Details

  • Start: 26 May 2014 00:30
  • Categories: ,
  • Web: http://wdb.ugr.es/~geometry/seminar/es/historial/autor/290
  • Room: Seminario 1ª Planta
  • Speaker: Gabriela Albuquerque Wanderley
  • Institution: Universite Paris-Est Marne la Vallée
  • Organizer: Seminario de Geometría

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.