{"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 $\\mathbb{R}^N$, $N\\ge2$. 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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05671","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}