{"paper":{"title":"Necessary and sufficient conditions for existence of Blow-up solutions for elliptic problems in Orlicz-Sobolev spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carlos Alberto Santos, Jefferson Abrantes Santos, Jiazheng Zhou","submitted_at":"2016-01-06T18:26:36Z","abstract_excerpt":"This paper is principally devoted to revisit the remarkable works of Keller and Osserman and generalize some previous results related to the those for the class of quasilinear elliptic problem $$\n  \\left\\{ \\begin{array}{l}\n  {\\rm{div}} \\left( \\phi(|\\nabla u|)\\nabla u\\right) = a(x)f(u)\\quad \\mbox{in } \\Omega,\\\\ u\\geq0\\ \\ \\mbox{in}\\ \\Omega,\\ \\ u=\\infty\\ \\mbox{on}\\ \\partial\\Omega, \\end{array} \\right. $$ where either $\\Omega \\subset \\mathbb{R}^N$ with $N \\geq 1$ is a smooth bounded domain or $\\Omega = \\mathbb{R}^N$. The function $\\phi$ includes special cases appearing in mathematical models in non"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01267","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":""},"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"}