We 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.
|Pages (from-to)||213 - 232|
|Number of pages||20|
|Journal||Pacific Journal of Mathematics|
|Publication status||Published - 2009|