{"paper":{"title":"A Hopf's lemma and a strong minimum principle for the fractional $p$-Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexander Quaas, Leandro M. Del Pezzo","submitted_at":"2016-09-15T16:31:04Z","abstract_excerpt":"Our propose here is to provide a Hopf Lemma and a strong minimum principle for week supersolutions of \\[ (-\\Delta_p)^s u= c(x)|u|^{p-2}u \\quad \\text{ in } \\Omega \\] where $\\Omega$ is an open set of $\\mathbb{R}^N,$ $s\\in(0,1),$ $p\\in(1,+\\infty),$ $c\\in C(\\overline{\\Omega})$ and $(-\\Delta_p)^s$ is the fractional $p$-Laplacian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04725","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"}