Clutterbuck, JulieAthanassenas, Maria2015-12-070030-8730http://hdl.handle.net/1885/18238We study the 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 introduced recently by Robert Finn can be defined. We prove existence of a locally Lipschitz minimizer in this class.Keywords: Capillarity; Compressible liquid; Function of bounded variationA capillarity problem for compressible liquids200910.2140/pjm.2009.243.2132016-02-24