{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JFSGZNIWGHOBV4TSYNRWRUOEZV","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":"7a3fcdb93efdcaaa779280d692834ea469bd7f0d5896df280220cfaffc7ab452","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-04-05T18:19:27Z","title_canon_sha256":"8fa3a5808866cb43172e70e4c5cddf38767b98a765d88d905935845ad1125feb"},"schema_version":"1.0","source":{"id":"1204.1295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1295","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1295v2","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1295","created_at":"2026-05-18T03:43:40Z"},{"alias_kind":"pith_short_12","alias_value":"JFSGZNIWGHOB","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JFSGZNIWGHOBV4TS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JFSGZNIW","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:29dfd66b891f884d58b7b211cf2ae2566f928b26a7e4d40e486f95b89dccc9af","target":"graph","created_at":"2026-05-18T03:43:40Z","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":"The paper is devoted to the existence of positive solutions of nonlinear elliptic equations with $p$-Laplacian. We provide a general topological degree that detects solutions of the problem $$ \\{{array}{l} A(u)=F(u) u\\in M {array}. $$ where $A:X\\supset D(A)\\to X^*$ is a maximal monotone operator in a Banach space $X$ and $F:M\\to X^*$ is a continuous mapping defined on a closed convex cone $M\\subset X$. Next, we apply this general framework to a class of partial differential equations with $p$-Laplacian under Dirichlet boundary conditions.","authors_text":"Aleksander Cwiszewski, Mateusz Maciejewski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-04-05T18:19:27Z","title":"Positive stationary solutions for p-Laplacian problems with nonpositive perturbation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1295","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":"sha256:89e7ac74059516d1945b912b1c09a34fa5d639064b097eb34b38661d906eaa70","target":"record","created_at":"2026-05-18T03:43:40Z","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":"7a3fcdb93efdcaaa779280d692834ea469bd7f0d5896df280220cfaffc7ab452","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-04-05T18:19:27Z","title_canon_sha256":"8fa3a5808866cb43172e70e4c5cddf38767b98a765d88d905935845ad1125feb"},"schema_version":"1.0","source":{"id":"1204.1295","kind":"arxiv","version":2}},"canonical_sha256":"49646cb51631dc1af272c36368d1c4cd52989e1541ca1265bdc51a5bf3ae611e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49646cb51631dc1af272c36368d1c4cd52989e1541ca1265bdc51a5bf3ae611e","first_computed_at":"2026-05-18T03:43:40.218347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:40.218347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qqucdiNp7tHuoOCFD3XFR9pbwRv+YA/9yYxOifv5I4HA6MyK/01XYD48Pb8nrpTIvJBos7A306mFL6SilhQ6BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:40.219126Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89e7ac74059516d1945b912b1c09a34fa5d639064b097eb34b38661d906eaa70","sha256:29dfd66b891f884d58b7b211cf2ae2566f928b26a7e4d40e486f95b89dccc9af"],"state_sha256":"2be2a0d5b4242cdc35575e5634ae21f1fd811fae23badaebf49a0ff7779d2467"}