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- W2963291492 abstract "In this paper we prove a new version of the Schoenflies extension theorem for collared domains in Euclidean n-space: for 1 < p < n, locally bi-Lipschitz homeomorphisms between collared domains with locally p-integrable, second-order weak derivatives admit homeomorphic extensions of the same regularity. Moreover, the theorem is essentially sharp. The existence of exotic 7-spheres shows that such extension theorems cannot hold for p > n = 7." @default.
- W2963291492 created "2019-07-30" @default.
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- W2963291492 date "2011-11-01" @default.
- W2963291492 modified "2023-09-29" @default.
- W2963291492 title "A Schoenflies extension theorem for a class of locally bi-Lipschitz homeomorphisms" @default.
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- W2963291492 doi "https://doi.org/10.1307/mmj/1320763046" @default.
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