A uniqueness criterion and a counterexample to regularity in an incompressible variational problem
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Publication:6154868
DOI10.1007/s00030-023-00914-3arXiv2205.06749OpenAlexW4376882365MaRDI QIDQ6154868
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Publication date: 16 February 2024
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.06749
Nonlinear elasticity (74B20) Optimality conditions for free problems in two or more independent variables (49K10)
Cites Work
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- Sufficient conditions for regularity of area-preserving deformations
- Twist maps as energy minimisers in homotopy classes: symmetrisation and the coarea formula
- On double-covering stationary points of a constrained Dirichlet energy
- Energy minimizers in nonlinear elastostatics and the implicit function theorem
- Non-uniqueness of minimizers for strictly polyconvex functionals
- Minimizing the Dirichlet energy over a space of measure preserving maps
- Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
- Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
- Regularity properties of deformations with finite energy
- On the uniqueness and monotonicity of energy minimisers in the homotopy classes of incompressible mappings and related problems
- Compensated compactness and Hardy spaces
- On the partial regularity of energy-minimizing, area-preserving maps
- Energy minimizing \(N\)-covering maps in two dimensions
- A continuously perturbed Dirichlet energy with area-preserving stationary points that `buckle' and occur in equal-energy pairs
- Higher Sobolev regularity of convex integration solutions in elasticity: the planar geometrically linearized hexagonal-to-rhombic phase transformation
- On the uniqueness of energy minimizers in finite elasticity
- Regularity for energy-minimizing area-preserving deformations
- \(H^p\) spaces of several variables
- Some Open Problems in Elasticity
- Maximum Principles And A priori Estimates For An Incompressible Material In Nonlinear Elasticity
- On homotopy conditions and the existence of multiple equilibria in finite elasticity
- Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int(K^{lc})
- Uniqueness of non-linear elastic equilibrium for prescribed boundary displacements and sufficiently small strains
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