{"paper":{"title":"Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ali Maalaoui, Armin Schikorra, Luca Martinazzi","submitted_at":"2015-04-01T15:00:27Z","abstract_excerpt":"Given a smoothly bounded domain $\\Omega\\Subset\\mathbb{R}^n$ with $n\\ge 1$ odd, we study the blow-up of bounded sequences $(u_k)\\subset H^\\frac{n}{2}_{00}(\\Omega)$ of solutions to the non-local equation $$(-\\Delta)^\\frac n2 u_k=\\lambda_k u_ke^{\\frac n2 u_k^2}\\quad \\text{in }\\Omega,$$ where $\\lambda_k\\to\\lambda_\\infty \\in [0,\\infty)$, and $H^{\\frac n2}_{00}(\\Omega)$ denotes the Lions-Magenes spaces of functions $u\\in L^2(\\mathbb{R}^n)$ which are supported in $\\Omega$ and with $(-\\Delta)^\\frac{n}{4}u\\in L^2(\\mathbb{R}^n)$. Extending previous works of Druet, Robert-Struwe and the second author, we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00254","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"}