Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary
From MaRDI portal
Publication:2204766
DOI10.1007/s00205-020-01559-7zbMath1465.26011arXiv1912.11086OpenAlexW2996758517MaRDI QIDQ2204766
Publication date: 16 October 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.11086
Nonlinear elasticity (74B20) Implicit function theorems, Jacobians, transformations with several variables (26B10) Implicit function theorems; global Newton methods on manifolds (58C15)
Related Items (14)
The Dirichlet principle for inner variations ⋮ Explicit complex-valued solutions of the 2D eikonal equation ⋮ Surface penalization of self-interpenetration in linear and nonlinear elasticity ⋮ Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition ⋮ Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture ⋮ Existence results in large-strain magnetoelasticity ⋮ Viscoelastodynamics of Swelling Porous Solids at Large Strains by an Eulerian Approach ⋮ A new example for the Lavrentiev phenomenon in nonlinear elasticity ⋮ Approximately invertible elements in non-unital normed algebras ⋮ Mini-workshop: Nonlocal analysis and the geometry of embeddings. Abstracts from the mini-workshop held November 22--28, 2020 (hybrid meeting) ⋮ Separately global solutions to rate-independent processes in large-strain inelasticity ⋮ Invertibility of Orlicz-Sobolev maps ⋮ Approximation of planar SobolevW2,1homeomorphisms by piecewise quadratic homeomorphisms and diffeomorphisms ⋮ Linearized von Kármán theory for incompressible magnetoelastic plates
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lectures on mappings of finite distortion
- Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity
- Bifurcation theory. An introduction with applications to partial differential equations
- Reshetnyak's theorem and the inner distortion
- A Schoenflies extension theorem for a class of locally bi-Lipschitz homeomorphisms
- On manifolds homeomorphic to the 7-sphere
- Injectivity almost everywhere for weak limits of Sobolev homeomorphisms
- Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
- Injectivity and self-contact in nonlinear elasticity
- Regularity properties of deformations with finite energy
- Quasiconformal mappings and spaces of functions with generalized first derivatives
- Convexity conditions and existence theorems in nonlinear elasticity
- Lusin's condition (N) and mappings with nonnegative Jacobians
- An existence theory for nonlinear elasticity that allows for cavitation
- Optimal assumptions for discreteness
- Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity
- A phase-field approach to Eulerian interfacial energies
- A planar bi-Lipschitz extension theorem
- Sequential weak continuity of null Lagrangians at the boundary
- Locally one-to-one mappings and a classical theorem on schlicht functions
- Some wild cells and spheres in three-dimensional space
- Remarks on the Iwaniec-Sverak conjecture
- Higher integrability of determinants and weak convergence in L1.
- Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials
- A global invertibility theorem for manifolds with boundary
- Almost-everywhere injectivity in nonlinear elasticity
- Global invertibility of Sobolev functions and the interpenetration of matter
- Elements of Lipschitz topology
- The planar Schönflies theorem for Lipschitz maps
- An extension of Reshetnyak's Theorem
- Radó-Kneser-Choquet Theorem for simply connected domains ($p$-harmonic setting)
- Invertibility and a Topological Property of Sobolev Maps
- Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms
- Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
- The Extension of Interiority, With Some Applications
- On embeddings of spheres
- Locally flat imbeddings of topological manifolds
- Monotone Sobolev mappings of planar domains and surfaces
This page was built for publication: Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary
