Regularity of Free Boundaries in Anisotropic Capillarity Problems and the Validity of Young's Law
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0813-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0813-2 | ||
| 245 | 0 | 0 | |a Regularity of Free Boundaries in Anisotropic Capillarity Problems and the Validity of Young's Law |h [Elektronische Daten] |c [G. Philippis, F. Maggi] |
| 520 | 3 | |a Local volume-constrained minimizers in anisotropic capillarity problems develop free boundaries on the walls of their containers. We prove the regularity of the free boundary outside a closed negligible set, showing in particular the validity of Young's law at almost every point of the free boundary. Our regularity results are not specific to capillarity problems, and actually apply to sets of finite perimeter (and thus to codimension one integer rectifiable currents) arising as minimizers in other variational problems with free boundaries. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Philippis |D G. |u Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115, Bonn, Germany |4 aut | |
| 700 | 1 | |a Maggi |D F. |u Department of Mathematics, The University of Texas at Austin, 2515 Speedway Stop C1200, 78712-1202, Austin, TX, USA |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/2(2015-05-01), 473-568 |x 0003-9527 |q 216:2<473 |1 2015 |2 216 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0813-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0813-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Philippis |D G. |u Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115, Bonn, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Maggi |D F. |u Department of Mathematics, The University of Texas at Austin, 2515 Speedway Stop C1200, 78712-1202, Austin, TX, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/2(2015-05-01), 473-568 |x 0003-9527 |q 216:2<473 |1 2015 |2 216 |o 205 | ||