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A capillarity problem for compressible liquids

Clutterbuck, Julie; Athanassenas, Maria


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.

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Pacific Journal of Mathematics
DOI: 10.2140/pjm.2009.243.213


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