Sobolev homeomorphism with zero Jacobian almost everywhere

By S. Hencl. 2011

58 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3b3005602c6d8c62990e61390f63d473e68f4319

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Sara Daneri
2. Aldo Pratelli
3. Pekka Koskela
4. S. Hencl
5. Alessio Figalli
6. Yuan Zhou
7. Francesco Maggi
8. N. Fusco

In Geometry and Topology

1. Sara Daneri
2. Aldo Pratelli
3. S. Hencl
4. Pekka Koskela
5. Jani Onninen
6. Tadeusz Iwaniec
7. Jan Maly
8. Camillo De Lellis

Citations in the corpus

• Lectures on Mappings of Finite Distortion (2014, background): “Lately it has been shown in Hencl [11] that for every p < n it is possible to construct a homeomorphism f ∈ W 1,p((0, 1), (0, 1)) which maps a set of measure zero to a set of measure one and the remaining set of measure one to a set of measure zero.”
• Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms (2011, background): “4) is not necessarily satisfied by a W 1,p homeomorphism (see [16] for an example of a W 1,p homeomorphism satisfying detDu = 0 on a set of positive measure).”