{"paper":{"title":"Neohookean deformations of annuli in the higher dimensional Euclidean space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"David Kalaj, Jian-Feng Zhu","submitted_at":"2019-03-06T10:26:44Z","abstract_excerpt":"Let $n\\ge 2$ be an integer and assume that $\\mathbb{A}=\\{x\\in\\mathbf{R}^n:1<|x|<R\\}$ and $\\A_\\ast = \\{y \\in \\mathbf{R}^n: 1 < |y| < R_\\ast\\}$ be two annuli in Euclidean space $\\mathbf{R}^n$. Assume that $\\mathcal{F}(\\A, \\A_\\ast)$ (resp. $\\mathcal{R}(\\A, \\A_\\ast)$) be the class of all orientation preserving (resp. radial) homeomorphisms $h : \\A \\mapsto \\A_\\ast$ in the Sobolev space $\\mathcal{W} ^{1,n}(\\A, \\A_\\ast)$ which keep the boundary circles in the same order. In this paper, we extended the corresponding results of Iwaniec and Onninen which was published in {\\it Math. Ann.} Vol. 348, 2010."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02291","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"}