Existence and Stability for a Non-Local Isoperimetric Model of Charged Liquid Drops
Gespeichert in:
Verfasser / Beitragende:
[Michael Goldman, Matteo Novaga, Berardo Ruffini]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 217/1(2015-07-01), 1-36
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0827-9 |2 doi |
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| 245 | 0 | 0 | |a Existence and Stability for a Non-Local Isoperimetric Model of Charged Liquid Drops |h [Elektronische Daten] |c [Michael Goldman, Matteo Novaga, Berardo Ruffini] |
| 520 | 3 | |a We consider a variational problem related to the shape of charged liquid drops at equilibrium. We show that this problem never admits local minimizers with respect to L 1 perturbations preserving the volume. However, we prove that the ball is stable under small C 1,1 perturbations when the charge is small enough. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Goldman |D Michael |u Max-Planck-Institut für Mathematik, Inselstrasse 22, 04103, Leipzig, Germany |4 aut | |
| 700 | 1 | |a Novaga |D Matteo |u Department of Mathematics, University of Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy |4 aut | |
| 700 | 1 | |a Ruffini |D Berardo |u Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 4, 56126, Pisa, Italy |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/1(2015-07-01), 1-36 |x 0003-9527 |q 217:1<1 |1 2015 |2 217 |o 205 | |
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| 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/s00205-014-0827-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Goldman |D Michael |u Max-Planck-Institut für Mathematik, Inselstrasse 22, 04103, Leipzig, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Novaga |D Matteo |u Department of Mathematics, University of Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ruffini |D Berardo |u Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 4, 56126, Pisa, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/1(2015-07-01), 1-36 |x 0003-9527 |q 217:1<1 |1 2015 |2 217 |o 205 | ||