### Abstract

Original language | English |
---|---|

Pages (from-to) | 213 - 232 |

Number of pages | 20 |

Journal | Pacific Journal of Mathematics |

Volume | 243 |

Issue number | 2 |

Publication status | Published - 2009 |

### Cite this

*Pacific Journal of Mathematics*,

*243*(2), 213 - 232.

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*Pacific Journal of Mathematics*, vol. 243, no. 2, pp. 213 - 232.

**A capillarity problem for compressible liquids.** / Athanassenas, Maria; Clutterbuck, Julie.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - A capillarity problem for compressible liquids

AU - Athanassenas, Maria

AU - Clutterbuck, Julie

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://pjm.math.berkeley.edu/pjm/2009/243-2/pjm-v243-n2-p02-s.pdf

M3 - Article

VL - 243

SP - 213

EP - 232

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -