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Let $\\mathcal{L}$ be the differential operator given by $\\mathcal{L}u:=-\\phi\\left( u^{\\prime}\\right) ^{\\prime}+r\\left( x\\right) \\phi\\left( u\\right) $, where $\\phi :\\mathbb{R\\rightarrow R}$ is an odd increasing homeomorphism and $0\\leq r\\in L^{1}\\left( \\Omega\\right) $. We study the existence of positive solutions for problems of the form $\\mathcal{L}u=\\lambda m\\left( x\\right) f\\left( u\\right)$ in $\\Omega,$ $u=0$ on $\\partial\\Omega$, where $f:\\left[ 0,\\infty\\right) \\rightarro"},"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":"1703.00567","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-03-02T00:50:01Z","cross_cats_sorted":[],"title_canon_sha256":"a4000be3b88a645076383a4da3780af2d18e1ef7c6a8d74b4be3a1ea684493b0","abstract_canon_sha256":"1e28d370c4e86ed7c12eccaa0d0605bae27d79c2c81572784be7cec817985589"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:09.636070Z","signature_b64":"S1RJe0rUY1RRQdvk9DzoFJwft2qoNNSgsynW9XclblXPewnFRl2kSxjnhed6QNM/4E5UXscL01zVkt5AYohJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cade6487614fa5bbbb5f605ca3d842486f61082e09ec98fbb137716c2b85b174","last_reissued_at":"2026-05-18T00:27:09.635528Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:09.635528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Positive solutions for nonlinear problems involving the one-dimensional {\\phi}-Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Leandro Milne, Uriel Kaufmann","submitted_at":"2017-03-02T00:50:01Z","abstract_excerpt":"Let $\\Omega:=\\left( a,b\\right) \\subset\\mathbb{R}$, $m\\in L^{1}\\left( \\Omega\\right) $ and $\\lambda>0$ be a real parameter. Let $\\mathcal{L}$ be the differential operator given by $\\mathcal{L}u:=-\\phi\\left( u^{\\prime}\\right) ^{\\prime}+r\\left( x\\right) \\phi\\left( u\\right) $, where $\\phi :\\mathbb{R\\rightarrow R}$ is an odd increasing homeomorphism and $0\\leq r\\in L^{1}\\left( \\Omega\\right) $. We study the existence of positive solutions for problems of the form $\\mathcal{L}u=\\lambda m\\left( x\\right) f\\left( u\\right)$ in $\\Omega,$ $u=0$ on $\\partial\\Omega$, where $f:\\left[ 0,\\infty\\right) \\rightarro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00567","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.00567","created_at":"2026-05-18T00:27:09.635608+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.00567v2","created_at":"2026-05-18T00:27:09.635608+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00567","created_at":"2026-05-18T00:27:09.635608+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZLPGJB3BJ6S3","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZLPGJB3BJ6S3XO27","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZLPGJB3B","created_at":"2026-05-18T12:31:59.375834+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/ZLPGJB3BJ6S3XO27MBOKHWCCJB","json":"https://pith.science/pith/ZLPGJB3BJ6S3XO27MBOKHWCCJB.json","graph_json":"https://pith.science/api/pith-number/ZLPGJB3BJ6S3XO27MBOKHWCCJB/graph.json","events_json":"https://pith.science/api/pith-number/ZLPGJB3BJ6S3XO27MBOKHWCCJB/events.json","paper":"https://pith.science/paper/ZLPGJB3B"},"agent_actions":{"view_html":"https://pith.science/pith/ZLPGJB3BJ6S3XO27MBOKHWCCJB","download_json":"https://pith.science/pith/ZLPGJB3BJ6S3XO27MBOKHWCCJB.json","view_paper":"https://pith.science/paper/ZLPGJB3B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.00567&json=true","fetch_graph":"https://pith.science/api/pith-number/ZLPGJB3BJ6S3XO27MBOKHWCCJB/graph.json","fetch_events":"https://pith.science/api/pith-number/ZLPGJB3BJ6S3XO27MBOKHWCCJB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZLPGJB3BJ6S3XO27MBOKHWCCJB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZLPGJB3BJ6S3XO27MBOKHWCCJB/action/storage_attestation","attest_author":"https://pith.science/pith/ZLPGJB3BJ6S3XO27MBOKHWCCJB/action/author_attestation","sign_citation":"https://pith.science/pith/ZLPGJB3BJ6S3XO27MBOKHWCCJB/action/citation_signature","submit_replication":"https://pith.science/pith/ZLPGJB3BJ6S3XO27MBOKHWCCJB/action/replication_record"}},"created_at":"2026-05-18T00:27:09.635608+00:00","updated_at":"2026-05-18T00:27:09.635608+00:00"}