We review some recent results on minimisers of a non-local perimeter functional, in connection with some phase coexistence models whose diffusion term is given by the fractional Laplacian.
A Fractional Framework for Perimeters and Phase Transitions / E. Valdinoci. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - 81:1(2013), pp. 1-23. [10.1007/s00032-013-0199-x]
A Fractional Framework for Perimeters and Phase Transitions
E. Valdinoci
2013
Abstract
We review some recent results on minimisers of a non-local perimeter functional, in connection with some phase coexistence models whose diffusion term is given by the fractional Laplacian.
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