{
  "abstract": "We study the homogenization of a class of non-local functionals featuring a rapidly oscillating periodic weight. By means of two-scale convergence, we explicitly evaluate the Γ-limit for constant target functions, revealing how the interplay between periodicity and non-locality forces the minimizing sequences to develop highly oscillating microstructures. As a natural consequence, we establish that the effective macroscopic functional fails to admit a standard double-integral representation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.16627",
  "author_total": 1,
  "authors": [
    {
      "name": "Enrico Micalizio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3nrnnt49fv9dg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.16627",
  "fulltext_url": null,
  "id": "3nrnnt49fv9dg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.16627",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.16627",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3nrnnt49fv9dg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2605.16627",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.16627"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Homogenization effects on non-local functionals",
  "title_text": "Homogenization effects on non-local functionals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/3nrnnt49fv9dg",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/s11587-026-01171-z",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}