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Droplet condensation
and isoperimetric towers
Matteo Novaga, Andrei Sobolevski and Eugene Stepanov |
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Vol. 262 (2013), No. 2, 457–480
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Abstract |
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We consider a variational problem in a planar convex domain, motivated by the statistical mechanics of crystal growth in a saturated solution. The minimizers are constructed explicitly and are completely characterized. |
Keywords
constrained isoperimetric problems, crystal growth,
anisotropic variational problems
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Mathematical Subject Classification 2010
Primary: 28A75, 49Q20, 82B24
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Milestones
Received: 1 March 2012
Revised: 24 September 2012
Accepted: 3 October 2012
Published: 16 April 2013
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Authors |
| Matteo Novaga | |
| Dipartimento di Matematica Università di Padova via Trieste 63 I-35121 Padova Italy |
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| Andrei Sobolevski | |
| Institute for Information
Transmission Problems (Kharkevich Institute) 19 B. Karetny per. 127994 Moscow Russia |
National Research University Higher
School of Economics 20 Myasnitskaya st. 101000 Moscow Russia |
| Eugene Stepanov | |
| Department of Mathematical Physics,
Faculty of Mathematics and Mechanics St. Petersburg State University Universitetskij pr. 28, Old Peterhof 198504 St. Petersburg Russia |
St. Petersburg Branch of the
Steklov Mathematical Institute of the Russian Academy of
Sciences Fontanka 27 191023 St. Petersburg Russia |
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