Homogenization of non-local functionals with periodic weights produces a Gamma-limit without standard double-integral representation because periodicity and non-locality force oscillating microstructures.
Exact periodic stripes for minimizers of a local/nonlocal interaction functional in general dimension
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Homogenization effects on non-local functionals
Homogenization of non-local functionals with periodic weights produces a Gamma-limit without standard double-integral representation because periodicity and non-locality force oscillating microstructures.