{"paper":{"title":"Regular solutions to a supercritical elliptic problem in exterior domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Juan D\\'avila, Luis F. L\\'opez","submitted_at":"2013-06-06T01:08:02Z","abstract_excerpt":"We consider the supercritical elliptic problem -\\Delta u = \\lambda e^u, \\lambda > 0, in an exterior domain $\\Omega = \\mathbb{R}^N \\setminus D$ under zero Dirichlet condition, where D is smooth and bounded in \\mathbb{R}^N, N greater or equal than 3. We prove that, for \\lambda small, this problem admits infinitely many regular solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1274","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"}