Neohookean deformations of annuli, existence, uniqueness and radial symmetry
From MaRDI portal
Publication:985689
DOI10.1007/s00208-009-0469-7zbMath1214.30011OpenAlexW1963910502WikidataQ110086194 ScholiaQ110086194MaRDI QIDQ985689
Publication date: 6 August 2010
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-009-0469-7
Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15) Quasiconformal mappings in the complex plane (30C62)
Related Items
The Dirichlet principle for inner variations ⋮ Mappings of least Dirichlet energy and their Hopf differentials ⋮ On the uniqueness of energy minimizers in finite elasticity ⋮ A Neohookean Model of Plates ⋮ Deformations of bi-conformal energy and a new characterization of quasiconformality ⋮ Limits of Sobolev homeomorphisms ⋮ Radial symmetry of \(p\)-harmonic minimizers ⋮ Neohookean deformations of annuli in the higher dimensional Euclidean space ⋮ Radial symmetry of minimizers to the weighted Dirichlet energy ⋮ Hyperelastic deformations and total combined energy of mappings between annuli ⋮ The existence of minimizers of energy for diffeomorphisms between two-dimensional annuli in \(\mathbb{R}^2\) and \(\mathbb{R}^3\) ⋮ The Nitsche phenomenon for weighted Dirichlet energy
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
- On the symmetry of energy-minimising deformations in nonlinear elasticity. II: Compressible materials
- Hyperelastic deformations of smallest total energy
- A regularity theory for harmonic maps
- Radially symmetric cavitation for hyperelastic materials
- Harmonic maps with defects
- Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
- Convexity conditions and existence theorems in nonlinear elasticity
- An existence theory for nonlinear elasticity that allows for cavitation
- A note on extremal mappings of finite distortion
- Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity
- Regularity of the inverse of a planar Sobolev homeomorphism
- THE MODULUS OF THE IMAGE ANNULI UNDER UNIVALENT HARMONIC MAPPINGS AND A CONJECTURE OF NITSCHE
- Maximal smoothness for solutions to equilibrium equations in 2D nonlinear elasticity
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- On the Module of Doubly-Connected Regions Under Harmonic Mappings
- Global invertibility of Sobolev functions and the interpenetration of matter
- Maximal smoothness of solutions to certain Euler–Lagrange equations from nonlinear elasticity
- On Mappings with Integrable Dilatation
- Myriad Radial Cavitating Equilibria in Nonlinear Elasticity
- Injectivity can fail for higher-dimensional harmonic extensions
- The Nitsche conjecture
- 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians
- Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
- Extremal mappings of finite distortion
- Deformations of finite conformal energy: existence and removability of singularities
- Mappings of finite distortion: Monotonicity and continuity
- Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche
