{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:KTYG252ZOZHHU2FCF7J4JQ7ZRV","short_pith_number":"pith:KTYG252Z","schema_version":"1.0","canonical_sha256":"54f06d7759764e7a68a22fd3c4c3f98d7ed49a378a29b0be50669018a2ab39ab","source":{"kind":"arxiv","id":"1801.06307","version":1},"attestation_state":"computed","paper":{"title":"On the existence and regularity of vector solutions for quasilinear systems with linear coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jiaqi Wang, Wenming Zou, Yong Ao","submitted_at":"2018-01-19T06:17:35Z","abstract_excerpt":"We study a class of linearly coupled system of quasilinear equations. Under some assumptions on the nonlinear terms, we establish some results about the existence and regularity of vector solutions for the p-Laplacian systems by using variational methods. In particular, we get two pairs of nontrivial solutions. We also study their different asymptotic behavior of solutions as the coupling parameter tends to zero."},"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":"1801.06307","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-19T06:17:35Z","cross_cats_sorted":[],"title_canon_sha256":"e2611936b6c275027a7ebfd4b9553d9029d8964805d0f78bac9296eb62b638db","abstract_canon_sha256":"cd5601d77a6e4f9346d812e27359ddbfe80dee742bf1b1f8bd9bf7361bba5c29"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:30.545724Z","signature_b64":"hnDbFt7t9pE6eOrzzG6i5nzAS00A6PyM4reiExOteUbz1X7BIv+ThMTQO6va3ioCFcJR84c8Aac7FKK/IgWPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54f06d7759764e7a68a22fd3c4c3f98d7ed49a378a29b0be50669018a2ab39ab","last_reissued_at":"2026-05-18T00:25:30.545064Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:30.545064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the existence and regularity of vector solutions for quasilinear systems with linear coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jiaqi Wang, Wenming Zou, Yong Ao","submitted_at":"2018-01-19T06:17:35Z","abstract_excerpt":"We study a class of linearly coupled system of quasilinear equations. Under some assumptions on the nonlinear terms, we establish some results about the existence and regularity of vector solutions for the p-Laplacian systems by using variational methods. In particular, we get two pairs of nontrivial solutions. We also study their different asymptotic behavior of solutions as the coupling parameter tends to zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06307","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":"1801.06307","created_at":"2026-05-18T00:25:30.545198+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.06307v1","created_at":"2026-05-18T00:25:30.545198+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06307","created_at":"2026-05-18T00:25:30.545198+00:00"},{"alias_kind":"pith_short_12","alias_value":"KTYG252ZOZHH","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"KTYG252ZOZHHU2FC","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"KTYG252Z","created_at":"2026-05-18T12:32:33.847187+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/KTYG252ZOZHHU2FCF7J4JQ7ZRV","json":"https://pith.science/pith/KTYG252ZOZHHU2FCF7J4JQ7ZRV.json","graph_json":"https://pith.science/api/pith-number/KTYG252ZOZHHU2FCF7J4JQ7ZRV/graph.json","events_json":"https://pith.science/api/pith-number/KTYG252ZOZHHU2FCF7J4JQ7ZRV/events.json","paper":"https://pith.science/paper/KTYG252Z"},"agent_actions":{"view_html":"https://pith.science/pith/KTYG252ZOZHHU2FCF7J4JQ7ZRV","download_json":"https://pith.science/pith/KTYG252ZOZHHU2FCF7J4JQ7ZRV.json","view_paper":"https://pith.science/paper/KTYG252Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.06307&json=true","fetch_graph":"https://pith.science/api/pith-number/KTYG252ZOZHHU2FCF7J4JQ7ZRV/graph.json","fetch_events":"https://pith.science/api/pith-number/KTYG252ZOZHHU2FCF7J4JQ7ZRV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KTYG252ZOZHHU2FCF7J4JQ7ZRV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KTYG252ZOZHHU2FCF7J4JQ7ZRV/action/storage_attestation","attest_author":"https://pith.science/pith/KTYG252ZOZHHU2FCF7J4JQ7ZRV/action/author_attestation","sign_citation":"https://pith.science/pith/KTYG252ZOZHHU2FCF7J4JQ7ZRV/action/citation_signature","submit_replication":"https://pith.science/pith/KTYG252ZOZHHU2FCF7J4JQ7ZRV/action/replication_record"}},"created_at":"2026-05-18T00:25:30.545198+00:00","updated_at":"2026-05-18T00:25:30.545198+00:00"}