{"paper":{"title":"Relaxation of p-growth integral functionals under space-dependent differential constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elisa Davoli, Irene Fonseca","submitted_at":"2017-02-03T17:35:22Z","abstract_excerpt":"A representation formula for the relaxation of integral energies $$(u,v)\\mapsto\\int_{\\Omega} f(x,u(x),v(x))\\,dx,$$ is obtained, where $f$ satisfies $p$-growth assumptions, $1<p<+\\infty$, and the fields $v$ are subjected to space-dependent first order linear differential constraints in the framework of $\\mathscr{A}$-quasiconvexity with variable coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01088","kind":"arxiv","version":2},"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"}