Existence of nonparametric solutions for a capillary problem in warped products
Differential Geometry
2016-01-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1307.2871,
title = {Existence of nonparametric solutions for a capillary problem in warped products},
author = {Jorge H. S. Lira and Gabriela A. Wanderley},
journal= {arXiv preprint arXiv:1307.2871},
year = {2016}
}