{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:AHH47VZC5FLHVKEOOCMG73SSAT","short_pith_number":"pith:AHH47VZC","schema_version":"1.0","canonical_sha256":"01cfcfd722e9567aa88e70986fee5204fdb28318325ff919f854e36f1078d280","source":{"kind":"arxiv","id":"2607.28436","version":1},"attestation_state":"computed","paper":{"title":"On boundary regularity for the fractional p-Laplacian with unbounded reactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antonio Iannizzotto, Sunra Mosconi","submitted_at":"2026-07-30T16:12:56Z","abstract_excerpt":"We consider an elliptic equation driven by the $s$-fractional $p$-Laplacian, set in a smooth bounded domain $\\Omega\\subset\\mathbb{R}^N$ with homogeneous nonlocal Dirichlet conditions and a reaction $f$ lying in $L^q(\\Omega)$ for some $q\\ge 1$. We prove that the unique solution $u$ is $\\alpha$-H\\\"older continuous up to the boundary, for any $\\alpha$ below $p'(s-N/pq)$ if $N/ps<q\\le N/s$, and $\\alpha=s$ if $q>N/s$. Also, we prove that if $q>N/s$ then $u/{\\rm d}_\\Omega^s$ admits a H\\\"older continuous extension to the closure of $\\Omega$, where ${\\rm d}_\\Omega$ denotes the distance from the bounda"},"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":"2607.28436","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-07-30T16:12:56Z","cross_cats_sorted":[],"title_canon_sha256":"d769857c3ca109abecbad76cc2853af24215ae8cc5e615bc40f6756a6b6f59e2","abstract_canon_sha256":"f3854b110c14a5a8a497094d3254250b3e260b33dea415ff596419b68130112f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01cfcfd722e9567aa88e70986fee5204fdb28318325ff919f854e36f1078d280","last_reissued_at":"2026-07-31T01:37:37.957588Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-31T01:37:37.957588Z"},"graph_snapshot":{"paper":{"title":"On boundary regularity for the fractional p-Laplacian with unbounded reactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antonio Iannizzotto, Sunra Mosconi","submitted_at":"2026-07-30T16:12:56Z","abstract_excerpt":"We consider an elliptic equation driven by the $s$-fractional $p$-Laplacian, set in a smooth bounded domain $\\Omega\\subset\\mathbb{R}^N$ with homogeneous nonlocal Dirichlet conditions and a reaction $f$ lying in $L^q(\\Omega)$ for some $q\\ge 1$. We prove that the unique solution $u$ is $\\alpha$-H\\\"older continuous up to the boundary, for any $\\alpha$ below $p'(s-N/pq)$ if $N/ps<q\\le N/s$, and $\\alpha=s$ if $q>N/s$. Also, we prove that if $q>N/s$ then $u/{\\rm d}_\\Omega^s$ admits a H\\\"older continuous extension to the closure of $\\Omega$, where ${\\rm d}_\\Omega$ denotes the distance from the bounda"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.28436","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.28436/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.28436","created_at":"2026-07-31T01:37:37.960690+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.28436v1","created_at":"2026-07-31T01:37:37.960690+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.28436","created_at":"2026-07-31T01:37:37.960690+00:00"},{"alias_kind":"pith_short_12","alias_value":"AHH47VZC5FLH","created_at":"2026-07-31T01:37:37.960690+00:00"},{"alias_kind":"pith_short_16","alias_value":"AHH47VZC5FLHVKEO","created_at":"2026-07-31T01:37:37.960690+00:00"},{"alias_kind":"pith_short_8","alias_value":"AHH47VZC","created_at":"2026-07-31T01:37:37.960690+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.09503","citing_title":"Capacitary estimates for solutions to nonlocal Dirichlet problems","ref_index":10,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT","json":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT.json","graph_json":"https://pith.science/api/pith-number/AHH47VZC5FLHVKEOOCMG73SSAT/graph.json","events_json":"https://pith.science/api/pith-number/AHH47VZC5FLHVKEOOCMG73SSAT/events.json","paper":"https://pith.science/paper/AHH47VZC"},"agent_actions":{"view_html":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT","download_json":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT.json","view_paper":"https://pith.science/paper/AHH47VZC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.28436&json=true","fetch_graph":"https://pith.science/api/pith-number/AHH47VZC5FLHVKEOOCMG73SSAT/graph.json","fetch_events":"https://pith.science/api/pith-number/AHH47VZC5FLHVKEOOCMG73SSAT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT/action/storage_attestation","attest_author":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT/action/author_attestation","sign_citation":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT/action/citation_signature","submit_replication":"https://pith.science/pith/AHH47VZC5FLHVKEOOCMG73SSAT/action/replication_record"}},"created_at":"2026-07-31T01:37:37.960690+00:00","updated_at":"2026-07-31T01:37:37.960690+00:00"}