Sobolev homeomorphisms with gradients of low rank via laminates
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Publication:1707962
DOI10.1515/acv-2016-0009zbMath1396.26023arXiv1603.04047OpenAlexW2964332913MaRDI QIDQ1707962
Marcos Oliva, Daniel Faraco, Carlos Mora-Corral
Publication date: 4 April 2018
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.04047
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convexity of real functions of several variables, generalizations (26B25) Special properties of functions of several variables, Hölder conditions, etc. (26B35)
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Cites Work
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- On rank one convex functions that are homogeneous of degree one
- Bi-Sobolev homeomorphism with zero Jacobian almost everywhere
- Bi-Sobolev homeomorphism with zero minors almost everywhere
- Automatic convexity of rank-1 convex functions
- Homeomorphism with zero Jacobian: sharp integrability of the derivative
- Classes of linear operators. Vol. I
- A geometrical approach to monotone functions in \(\mathbb{R}^n\)
- Parametrized measures and variational principles
- Milton's conjecture on the regularity of solutions to isotropic equations
- Convex integration for Lipschitz mappings and counterexamples to regularity
- A new approach to counterexamples to \(L^1\) estimates: Korn's inequality, geometric rigidity, and regularity for gradients of separately convex functions
- Luzin's condition (N) and modulus of continuity
- Laminates meet Burkholder functions
- Sobolev homeomorphism with zero Jacobian almost everywhere
- Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines
- A strictly convex Sobolev function with null Hessian minors
- Geometrisation of purely hyperbolic representations in \(\mathrm{PSL}_2\mathbb{R}\)
- The Monge–Ampère equation and its link to optimal transportation
- Laminates and microstructure
- Global invertibility of Sobolev functions and the interpenetration of matter
- Polar factorization and monotone rearrangement of vector‐valued functions
- Change of variables formula under minimal assumptions
- Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
- Direct methods in the calculus of variations
- Mappings of finite distortion: Condition \(N\)
