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math.AP2019
On minimizers of an anisotropic liquid drop model
Oleksandr Misiats, Ihsan Topaloglu
We consider a variant of Gamow's liquid drop model with an anisotropic surface energy. Under suitable regularity and ellipticity assumptions on the surface tension, Wulff shapes ar…
math.AP2019
Singular perturbation of an elastic energy with a singular weight
Oleksandr Misiats, Ihsan Topaloglu, Daniel Vasiliu
We study the singular perturbation of an elastic energy with a singular weight. The minimization of this energy results in a multi-scale pattern formation. We derive an energy scal…