Existence and Stability for a Non-Local Isoperimetric Model of Charged Liquid Drops

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)
ID: 605515476
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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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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