%0 Journal Article
%T The Capillarity Problem for Compressible Liquids
%A Maria Athanassenas
%A Julie Clutterbuck
%J Mathematics
%D 2006
%I arXiv
%X In this paper we study existence and regularity of solutions to the capillarity problem for compressible liquids in a tube. We introduce an appropriate space of functions of bounded variation, in which the energy functional recently introduced by Robert Finn can be defined. We prove existence of a locally Lipschitz minimiser in this class.
%U http://arxiv.org/abs/math/0612536v1