2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120290In 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.15 pagesAnalysis of PDEsMathematical Physics49Q20, 76N10, 76B45text