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arXiv 1106.1192math.AP
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双Lipschitz保向同胚的光滑逼近

Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

Sara Daneri, Aldo Pratelli

摘要:

我们表明,一个平面双Lipschitz方向保持同胚可以近似的$W^{1,p}$规范,连同其逆,方向保持同胚是分段仿射或光滑。

英文摘要:

We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the $W^{1,p}$ norm, together with its inverse, with an orientation-preserving homeomorphism which is piecewise affine or smooth.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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