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Jacobians of Sobolev homeomorphisms

✍ Scribed by Stanislav Hencl; Jan Malý


Book ID
106176338
Publisher
Springer
Year
2009
Tongue
English
Weight
173 KB
Volume
38
Category
Article
ISSN
0944-2669

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📜 SIMILAR VOLUMES


Sobolev homeomorphism with zero Jacobian
✍ Stanislav Hencl 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 190 KB

Let 1 p < N. We construct a homeomorphism f in the Sobolev space W 1,p ((0, 1) N , (0, 1) N ) such that J f = 0 almost everywhere.