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Let $f:\\left[ 0,\\infty\\right) \\rightarrow\\left[ 0,\\infty\\right) $ be a continuous function such that $k_{1}\\xi^{p}\\leq f\\left(\\xi\\right) \\leq k_{2}\\xi^{p}$ for all $\\xi\\geq0$ and some $k_{1},k_{2}>0$ and $p\\in\\left(0,1\\right) $. We study existence and nonexistence of strictly positive solutions for nonlinear elliptic problems of the form $-\\Delta u=m\\left(x\\right) f\\left(u\\right) $ in $\\Omega$, $u=0$ on $\\partial\\Omega$."},"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":"1304.4883","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-17T16:32:43Z","cross_cats_sorted":[],"title_canon_sha256":"4ceaa4fe31ec8993c09dbea6b74a79e1eb8f1d3ffaa8cbc6aacb638196f87fae","abstract_canon_sha256":"d3e9958db226265b49af2380af916a26873c0b3cab98f969185d61c804b68da8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:04.074872Z","signature_b64":"ubwDH0FoNFPW80D+bodAfq9NrZhfk87seLDNyrt5JtI2Me4L52otDFQAUJG+4CBlKqVEjMfxGc1E8GoWddX0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12abb9c9b9d1f5067ee3285ef3c92332c7752185fed7d9403cf7eb1b62bd64a3","last_reissued_at":"2026-05-18T03:19:04.074152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:04.074152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence of strictly positive solutions for sublinear elliptic problems in bounded domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tomas Godoy, Uriel Kaufmann","submitted_at":"2013-04-17T16:32:43Z","abstract_excerpt":"Let $\\Omega$ be a smooth bounded domain in $\\mathbb{R}^{N}$ and let $m$ be a possibly discontinuous and unbounded function that changes sign in $\\Omega$. 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We study existence and nonexistence of strictly positive solutions for nonlinear elliptic problems of the form $-\\Delta u=m\\left(x\\right) f\\left(u\\right) $ in $\\Omega$, $u=0$ on $\\partial\\Omega$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4883","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":"1304.4883","created_at":"2026-05-18T03:19:04.074262+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.4883v2","created_at":"2026-05-18T03:19:04.074262+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4883","created_at":"2026-05-18T03:19:04.074262+00:00"},{"alias_kind":"pith_short_12","alias_value":"CKV3TSNZ2H2Q","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"CKV3TSNZ2H2QM7XD","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"CKV3TSNZ","created_at":"2026-05-18T12:27:40.988391+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/CKV3TSNZ2H2QM7XDFBPPHSJDGL","json":"https://pith.science/pith/CKV3TSNZ2H2QM7XDFBPPHSJDGL.json","graph_json":"https://pith.science/api/pith-number/CKV3TSNZ2H2QM7XDFBPPHSJDGL/graph.json","events_json":"https://pith.science/api/pith-number/CKV3TSNZ2H2QM7XDFBPPHSJDGL/events.json","paper":"https://pith.science/paper/CKV3TSNZ"},"agent_actions":{"view_html":"https://pith.science/pith/CKV3TSNZ2H2QM7XDFBPPHSJDGL","download_json":"https://pith.science/pith/CKV3TSNZ2H2QM7XDFBPPHSJDGL.json","view_paper":"https://pith.science/paper/CKV3TSNZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.4883&json=true","fetch_graph":"https://pith.science/api/pith-number/CKV3TSNZ2H2QM7XDFBPPHSJDGL/graph.json","fetch_events":"https://pith.science/api/pith-number/CKV3TSNZ2H2QM7XDFBPPHSJDGL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CKV3TSNZ2H2QM7XDFBPPHSJDGL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CKV3TSNZ2H2QM7XDFBPPHSJDGL/action/storage_attestation","attest_author":"https://pith.science/pith/CKV3TSNZ2H2QM7XDFBPPHSJDGL/action/author_attestation","sign_citation":"https://pith.science/pith/CKV3TSNZ2H2QM7XDFBPPHSJDGL/action/citation_signature","submit_replication":"https://pith.science/pith/CKV3TSNZ2H2QM7XDFBPPHSJDGL/action/replication_record"}},"created_at":"2026-05-18T03:19:04.074262+00:00","updated_at":"2026-05-18T03:19:04.074262+00:00"}