Fibers of monotone maps of finite distortion
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Publication:2082310
DOI10.1007/s12220-022-01038-3zbMath1502.30074arXiv2201.03995OpenAlexW4296841667MaRDI QIDQ2082310
Ilmari Kangasniemi, Jani Onninen
Publication date: 4 October 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.03995
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Degenerate elliptic equations (35J70)
Cites Work
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- Lectures on mappings of finite distortion
- Quasiconformal 4-manifolds
- A conformal de Rham complex
- Injectivity and self-contact in nonlinear elasticity
- Regularity properties of deformations with finite energy
- Convexity conditions and existence theorems in nonlinear elasticity
- Integral estimates for null Lagrangians
- Weakly monotone functions
- Mappings of finite distortion: Hausdorff measure of zero sets
- An existence theory for nonlinear elasticity that allows for cavitation
- On a new class of elastic deformations not allowing for cavitation
- Optimal assumptions for discreteness
- Mappings of finite distortion: discreteness and openness for quasi-light mappings
- Approximating cellular maps by homeomorphisms
- Homeomorphic approximations to monotone mappings
- Global invertibility of Sobolev functions and the interpenetration of matter
- Maximum Principles And A priori Estimates For An Incompressible Material In Nonlinear Elasticity
- An extension of Reshetnyak's Theorem
- Local Invertibility of Sobolev Functions
- The Topology of (Path) Surfaces
- Invertibility and a Topological Property of Sobolev Maps
- Uniform cohomological expansion of uniformly quasiregular mappings
- Nonlinear problems of elasticity
- Mappings of finite distortion: Monotonicity and continuity
- Monotone Sobolev mappings of planar domains and surfaces