The Capillarity Problem for Compressible Liquids

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In this paper we study 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 recently introduced by Robert Finn can be defined. We prove existence of a locally Lipschitz minimiser in this class.
15 pages

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Analysis of PDEs, Mathematical Physics, 49Q20, 76N10, 76B45

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http://salesiana.dossiersoluciones.com/handle/123456789/120290

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612536
 http://arxiv.org/abs/math/0612536

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arXiv