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The strongly local energy density $F_n({\\cdot}, Du)$ of the functional $\\{\\mathcal{F}_n\\}$ satisfies a Lipschitz condition with respect to the second variable, which is controlled by a positive sequence $\\{a_n\\}$ which is only bounded in some suitable space $L^r(\\Omega)$. We prove that the sequence $\\{\\mathcal{F}_n\\}$ $\\Gamm"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1609.05671","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-19T11:32:34Z","cross_cats_sorted":[],"title_canon_sha256":"0359ee9963d757165febef787d2b6cbadec9670efe63e8694a740024101339fb","abstract_canon_sha256":"87c0cef865c35f5ff6e3db508a147cce9a627320cb769b36095842990a945ef1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:25.674837Z","signature_b64":"0ruP/mnfcjPxzBErN21sAtDBHDoiaICQyjEJt552VUtxUYWhM67oPG2B2D04ortqpdJGfYS2r0KO7L0zJJo1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65b4a781d75edb88ffe389ae273b6826bd136349692417dc523d5f81b3f66722","last_reissued_at":"2026-05-18T01:04:25.674148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:25.674148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogenization of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A Pallares-Mart\\'in (EDAN US), J Casado-D\\'iaz (EDAN US), Marc Briane (IRMAR), M Luna-Laynez (EDAN US)","submitted_at":"2016-09-19T11:32:34Z","abstract_excerpt":"The present paper deals with the asymptotic behavior of equi-coercive sequences $\\{\\mathcal{F}_n\\}$ of nonlinear functionals defined over vector-valued functions in $W_)^{1,p}(\\Omega)^M$ , where $p>1$, $M\\ge1$, and $\\Omega$ is a bounded open set of $\\mathbb{R}^N$, $N\\ge2$. 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