{"paper":{"title":"Boundary regularity of stationary biharmonic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Changyou Wang, Huajun Gong, Tobias Lamm","submitted_at":"2011-05-02T17:17:51Z","abstract_excerpt":"We consider the Dirichlet problem for stationary biharmonic maps $u$ from a bounded, smooth domain $\\Omega\\subset\\mathbb R^n$ ($n\\ge 5$) to a compact, smooth Riemannian manifold $N\\subset\\mathbb R^l$ without boundary. For any smooth boundary data, we show that if, in addition, $u$ satisfies a certain boundary monotonicity inequality, then there exists a closed subset $\\Sigma\\subset\\bar{\\Omega}$, with $H^{n-4}(\\Sigma)=0$, such that $u\\in C^\\infty(\\bar\\Omega\\setminus\\Sigma, N)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0384","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"}