Regularity of the inverse of a Sobolev homeomorphism in space

By S. Hencl, Pekka Koskela, Jan Maly. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2006

81 citations recorded by the source corpus.

How researchers see this paper

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

Regularity of the Inverse of a Planar Sobolev Homeomorphism (2006, background): “An extension of our main theorem to higher dimensions can be found in the forthcoming paper [ 13 ].”
Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms (2011, result): “Actually, the result by Hencl and Koskela is even stronger, since it states that for a W 1,1 map one has that u−1 ∈ W 1,1 if and only if u has finite distorsion; the study of maps of finite distorsion in connection with Sobolev homeomorphisms is very active in last years, see for instance [10,16,15,”
Lectures on Mappings of Finite Distortion (2014, result): “These results were established in Hencl, Koskela, Malý [17] and Csörnyei, Hencl and Malý [7].”
Deformations of Annuli with Smallest Mean Distortion (2010, background): “It has bounded variation but fails to be absolutely continuous on lines, see [10,11] for related questions and results.”
Homeomorphisms of Bounded Variation (2007, background): “L n−1 loc (�) when n 3. Regarding the W 1,1 -setting in higher dimensions we refer the reader to [ 3 ] and [6].”