Plane-like minimizers for a non-local Ginzburg--Landau-type energy in a periodic medium
- Cozzi, Matteo
- Valdinoci, Enrico
2010 Mathematics Subject Classification
- 35R11 35A15 35B08 82B26 35B65
- Non-local energies, phase transitions, plane-like minimizers, fractional Laplacian
We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. The solutions constructed also enjoy a local minimality property with respect to a suitable non-local energy functional.
- J. Ec. polytech. Math., 4 (2017), pp. 337-388.