{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UWVNUQ4MRVN4VYPOZPNMPFIMMC","short_pith_number":"pith:UWVNUQ4M","schema_version":"1.0","canonical_sha256":"a5aada438c8d5bcae1eecbdac7950c6080aa0351b043e9ca6e8efa4462091d04","source":{"kind":"arxiv","id":"1801.07590","version":1},"attestation_state":"computed","paper":{"title":"Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Agnieszka \\'Swierczewska-Gwiazda, Martin Kalousek, Miroslav Bul\\'i\\v{c}ek, Piotr Gwiazda","submitted_at":"2018-01-21T17:15:41Z","abstract_excerpt":"We consider a strongly nonlinear elliptic problem with the homogeneous Dirichlet boundary condition. The growth and the coercivity of the elliptic operator is assumed to be indicated by an inhomogeneous anisotropic $\\mathcal{N}$-function. First, an existence result is shown under the assumption that the $\\mathcal{N}$-function or its convex conjugate satisfies $\\Delta_2$-condition. The second result concerns the homogenization process for families of strongly nonlinear elliptic problems with the homogeneous Dirichlet boundary condition under above stated conditions on the elliptic operator, whi"},"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":"1801.07590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-21T17:15:41Z","cross_cats_sorted":[],"title_canon_sha256":"3d7a2f4f6c477d8a37970d2923db9ff06b2e032b091071161463f3f68ced94e9","abstract_canon_sha256":"d9b8774d6c7369c5be6789d9b1147ae748a50ffc2f7b25fe79b024ce3828b279"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:12.490658Z","signature_b64":"YgxEeJwlkESSEs7LVYxLOe10kArzS8j263kl7zuV9IEZFmADRWYQFvk098aTjNOA+2u9XVOcxJLQbLI+ObZLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5aada438c8d5bcae1eecbdac7950c6080aa0351b043e9ca6e8efa4462091d04","last_reissued_at":"2026-05-18T00:25:12.490282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:12.490282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Agnieszka \\'Swierczewska-Gwiazda, Martin Kalousek, Miroslav Bul\\'i\\v{c}ek, Piotr Gwiazda","submitted_at":"2018-01-21T17:15:41Z","abstract_excerpt":"We consider a strongly nonlinear elliptic problem with the homogeneous Dirichlet boundary condition. The growth and the coercivity of the elliptic operator is assumed to be indicated by an inhomogeneous anisotropic $\\mathcal{N}$-function. First, an existence result is shown under the assumption that the $\\mathcal{N}$-function or its convex conjugate satisfies $\\Delta_2$-condition. The second result concerns the homogenization process for families of strongly nonlinear elliptic problems with the homogeneous Dirichlet boundary condition under above stated conditions on the elliptic operator, whi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07590","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1801.07590","created_at":"2026-05-18T00:25:12.490354+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.07590v1","created_at":"2026-05-18T00:25:12.490354+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07590","created_at":"2026-05-18T00:25:12.490354+00:00"},{"alias_kind":"pith_short_12","alias_value":"UWVNUQ4MRVN4","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UWVNUQ4MRVN4VYPO","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UWVNUQ4M","created_at":"2026-05-18T12:32:56.356000+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC","json":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC.json","graph_json":"https://pith.science/api/pith-number/UWVNUQ4MRVN4VYPOZPNMPFIMMC/graph.json","events_json":"https://pith.science/api/pith-number/UWVNUQ4MRVN4VYPOZPNMPFIMMC/events.json","paper":"https://pith.science/paper/UWVNUQ4M"},"agent_actions":{"view_html":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC","download_json":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC.json","view_paper":"https://pith.science/paper/UWVNUQ4M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.07590&json=true","fetch_graph":"https://pith.science/api/pith-number/UWVNUQ4MRVN4VYPOZPNMPFIMMC/graph.json","fetch_events":"https://pith.science/api/pith-number/UWVNUQ4MRVN4VYPOZPNMPFIMMC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC/action/storage_attestation","attest_author":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC/action/author_attestation","sign_citation":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC/action/citation_signature","submit_replication":"https://pith.science/pith/UWVNUQ4MRVN4VYPOZPNMPFIMMC/action/replication_record"}},"created_at":"2026-05-18T00:25:12.490354+00:00","updated_at":"2026-05-18T00:25:12.490354+00:00"}