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Homeomorphisms in the Sobolev space W1,n–1
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Marianna Csörnyei
Published/Copyright:
May 31, 2010
Abstract
Let 
be open. We show that each homeomorphism 
satisfies 
. If we moreover assume that ƒ has finite distortion, then 
and ƒ–1 has finite distortion. The main ingredient is a new result on change of variables in integral (area and coarea formula) for such mappings.
Received: 2007-09-26
Revised: 2009-03-27
Published Online: 2010-05-31
Published in Print: 2010-July
© Walter de Gruyter Berlin · New York 2010
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- Arithmetic homology and an integral version of Kato's conjecture
- Small groups of finite Morley rank with involutions
- Genus bounds for minimal surfaces arising from min-max constructions
- Iterative q-difference Galois theory
- Conic-connected manifolds
- A visible factor of the special L-value
- Modular Galois covers associated to symplectic resolutions of singularities
- Homeomorphisms in the Sobolev space W1,n–1
Articles in the same Issue
- Arithmetic homology and an integral version of Kato's conjecture
- Small groups of finite Morley rank with involutions
- Genus bounds for minimal surfaces arising from min-max constructions
- Iterative q-difference Galois theory
- Conic-connected manifolds
- A visible factor of the special L-value
- Modular Galois covers associated to symplectic resolutions of singularities
- Homeomorphisms in the Sobolev space W1,n–1
