A capillarity problem for compressible liquids

Clutterbuck, Julie; Athanassenas, Maria

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A capillarity problem for compressible liquids

Date

2009

Authors

Clutterbuck, Julie

Athanassenas, Maria

Publisher

University of California

Abstract

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.