{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7DVW2J6ZE4F76DVM54C7SRMNJA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"23e65bcbdcfb980398584496d187313249486f008c7f40547886dffc71109faa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-02-13T07:20:08Z","title_canon_sha256":"510c0beb674d0cc24ae56f5b33effd05432e734ff682f4bfce226b5a99954b4c"},"schema_version":"1.0","source":{"id":"1102.2564","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.2564","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1102.2564v2","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.2564","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"7DVW2J6ZE4F7","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7DVW2J6ZE4F76DVM","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7DVW2J6Z","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:c386b7d9978f9fc01464079dd8d793fabadcabc2fca0c75ea3ea415f6a0f6fdc","target":"graph","created_at":"2026-05-18T03:15:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this article we study quasilinear multipower systems of two equations of two types, in a domain $\\Omega$ of R^{N} : with absorption terms, or mixed terms. Despite of the lack of comparison principle, we prove a priori estimates of Keller-Osserman type. Concerning the mixed system, we show that one of the solutions always satisfies Harnack inequality. In the case $\\Omega$=B(0,1)\\{0}, we also study the behaviour near 0 of the solutions of more general weighted systems, giving a priori estimates and removability results. Finally we prove the sharpness of the results.","authors_text":"Cecilia Yarur (Departamento de Matematicas y CC), Marie-Fran\\c{c}oise Bidaut-V\\'eron (LMPT), Marta Garcia-Huidobro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-02-13T07:20:08Z","title":"Keller-Osserman estimates for some quasilinear elliptic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2564","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:986e74ed8a0efb82830de66899a7699584e3068f8d5ca35d41e9e0d3549cac5f","target":"record","created_at":"2026-05-18T03:15:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"23e65bcbdcfb980398584496d187313249486f008c7f40547886dffc71109faa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-02-13T07:20:08Z","title_canon_sha256":"510c0beb674d0cc24ae56f5b33effd05432e734ff682f4bfce226b5a99954b4c"},"schema_version":"1.0","source":{"id":"1102.2564","kind":"arxiv","version":2}},"canonical_sha256":"f8eb6d27d9270bff0eacef05f9458d482ece43386f16ca3112321ba16bce04df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8eb6d27d9270bff0eacef05f9458d482ece43386f16ca3112321ba16bce04df","first_computed_at":"2026-05-18T03:15:06.898753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:06.898753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FcbMruUdar/itEyOjaJvHQtxihsaXOlU8BA2fdFZMSi5ugvjRIR5/nTVCSj7mjZyuPHalP+iT1jTC+Gmpe6GAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:06.899685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.2564","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:986e74ed8a0efb82830de66899a7699584e3068f8d5ca35d41e9e0d3549cac5f","sha256:c386b7d9978f9fc01464079dd8d793fabadcabc2fca0c75ea3ea415f6a0f6fdc"],"state_sha256":"87bdcb56075098cc550ae988f13904203fa03d1c682bec9582033081336c44f0"}