Mappings of finite distortion: size of the branch set
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Publication:2216202
DOI10.1515/acv-2017-0034zbMath1461.30055OpenAlexW2797510143WikidataQ109746538 ScholiaQ109746538MaRDI QIDQ2216202
Ville Tengvall, Stanislav Hencl, Chang Yu Guo
Publication date: 15 December 2020
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: http://urn.fi/URN:NBN:fi:jyu-201806283376
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Implicit function theorems, Jacobians, transformations with several variables (26B10)
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Cites Work
- Lectures on mappings of finite distortion
- Differentiability in the Sobolev space \(W^{1,n-1}\)
- Mappings of finite inner distortion: global homeomorphism theorem
- Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings
- Monodromy representations of completed coverings
- Regularity properties of deformations with finite energy
- Sobolev mappings with integrable dilatations
- Quasiregular maps \(\mathbb{S}^3\to\mathbb{S}^3\) with wild branch sets
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- Geometric branched covers between generalized manifolds
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- Mappings of finite distortion: sharp Orlicz-conditions
- Optimal assumptions for discreteness
- Local monodromy of branched covers and dimension of the branch set
- Mappings of finite distortion: Capacity and modulus inequalities
- Homeomorphisms in the Sobolev space W 1,n–1
- Global invertibility of Sobolev functions and the interpenetration of matter
- On Mappings with Integrable Dilatation
- The Beltrami equation
- Hausdorff Dimension and Quasiconformal Mappings
- Mappings of finite distortion: Monotonicity and continuity
- Mappings of finite distortion: Condition \(N\)
- Mappings of finite distortion: Discreteness and openness
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