A capillarity problem for compressible liquids

Maria Athanassenas, Julie Clutterbuck

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3 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)213 - 232
Number of pages20
JournalPacific Journal of Mathematics
Issue number2
Publication statusPublished - 2009

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