{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JIVC6IZER6PRCSJCTBHUXKVAFY","short_pith_number":"pith:JIVC6IZE","schema_version":"1.0","canonical_sha256":"4a2a2f23248f9f114922984f4baaa02e25f48736717e1abe76bbae3da4f052e8","source":{"kind":"arxiv","id":"1706.06686","version":1},"attestation_state":"computed","paper":{"title":"Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Abiel Macedo, Kaye Silva","submitted_at":"2017-06-20T22:21:06Z","abstract_excerpt":"We study a $p$-Laplacian equation involving a parameter $\\lambda$ and a concave-convex nonlinearity containing a weight which can change sign. By using the Nehari manifold and the fibering method, we show the existence of two positive solutions on some interval $(0,\\lambda^*+\\varepsilon)$, where $\\lambda^*$ can be characterized variationally. We also study the asymptotic behavior of solutions when $\\lambda\\downarrow 0$."},"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":"1706.06686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-20T22:21:06Z","cross_cats_sorted":[],"title_canon_sha256":"7f7771a9f3962a8b1181b47fb5f84d92065291fc36af0927aace46855afeec41","abstract_canon_sha256":"31603f81c4540c5bf8f5a351dcad80c0d975fe1b009b1c04f4056df45c830b7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:10.445370Z","signature_b64":"2deF9HjSNwEBR3ork9V0vSjKoYze+pAO1Ky9xEFVq/ICrBYGd1G11ly7gOe6ufENdRqONbHDzvYtaxOXVptMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a2a2f23248f9f114922984f4baaa02e25f48736717e1abe76bbae3da4f052e8","last_reissued_at":"2026-05-17T23:44:10.444760Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:10.444760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Abiel Macedo, Kaye Silva","submitted_at":"2017-06-20T22:21:06Z","abstract_excerpt":"We study a $p$-Laplacian equation involving a parameter $\\lambda$ and a concave-convex nonlinearity containing a weight which can change sign. By using the Nehari manifold and the fibering method, we show the existence of two positive solutions on some interval $(0,\\lambda^*+\\varepsilon)$, where $\\lambda^*$ can be characterized variationally. We also study the asymptotic behavior of solutions when $\\lambda\\downarrow 0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06686","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":"1706.06686","created_at":"2026-05-17T23:44:10.444836+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.06686v1","created_at":"2026-05-17T23:44:10.444836+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06686","created_at":"2026-05-17T23:44:10.444836+00:00"},{"alias_kind":"pith_short_12","alias_value":"JIVC6IZER6PR","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"JIVC6IZER6PRCSJC","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"JIVC6IZE","created_at":"2026-05-18T12:31:24.725408+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/JIVC6IZER6PRCSJCTBHUXKVAFY","json":"https://pith.science/pith/JIVC6IZER6PRCSJCTBHUXKVAFY.json","graph_json":"https://pith.science/api/pith-number/JIVC6IZER6PRCSJCTBHUXKVAFY/graph.json","events_json":"https://pith.science/api/pith-number/JIVC6IZER6PRCSJCTBHUXKVAFY/events.json","paper":"https://pith.science/paper/JIVC6IZE"},"agent_actions":{"view_html":"https://pith.science/pith/JIVC6IZER6PRCSJCTBHUXKVAFY","download_json":"https://pith.science/pith/JIVC6IZER6PRCSJCTBHUXKVAFY.json","view_paper":"https://pith.science/paper/JIVC6IZE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.06686&json=true","fetch_graph":"https://pith.science/api/pith-number/JIVC6IZER6PRCSJCTBHUXKVAFY/graph.json","fetch_events":"https://pith.science/api/pith-number/JIVC6IZER6PRCSJCTBHUXKVAFY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JIVC6IZER6PRCSJCTBHUXKVAFY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JIVC6IZER6PRCSJCTBHUXKVAFY/action/storage_attestation","attest_author":"https://pith.science/pith/JIVC6IZER6PRCSJCTBHUXKVAFY/action/author_attestation","sign_citation":"https://pith.science/pith/JIVC6IZER6PRCSJCTBHUXKVAFY/action/citation_signature","submit_replication":"https://pith.science/pith/JIVC6IZER6PRCSJCTBHUXKVAFY/action/replication_record"}},"created_at":"2026-05-17T23:44:10.444836+00:00","updated_at":"2026-05-17T23:44:10.444836+00:00"}