{"paper":{"title":"Ground state solution for a Kirchhoff problem with exponential critical growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giovany M. Figueiredo, Uberlandio B. Severo","submitted_at":"2013-05-12T09:21:15Z","abstract_excerpt":"We establish the existence of a positive ground state solution for a Kirchhoff problem in $\\mathbb{R}^2$ involving critical exponential growth, that is, the nonlinearity behaves like $\\exp(\\alpha_{0}s^{2})$ as $|s| \\to \\infty$, for some $\\alpha_{0}>0$. In order to obtain our existence result we used minimax techniques combined with the Trudinger-Moser inequality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2571","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"}