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Статья

Droplet condensation and isoperimetric towers

Pacific Journal of Mathematics. 2013. Vol. 262. No. 2. P. 457-480.
Novaga M., Sobolevski A., Stepanov E.

We consider a variational problem in a planar convex domain, motivated by statistical mechanics of crystal growth in a saturated solution. The minimizers are constructed explicitly and are completely characterized.