Relaxation of nonlinear elastic energies related to Orlicz-Sobolev nematic elastomers
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Publication:2192703
DOI10.4171/RLM/895zbMath1445.49009arXiv1906.05713MaRDI QIDQ2192703
Giovanni Scilla, Bianca Stroffolini
Publication date: 17 August 2020
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.05713
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20)
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- Existence results for incompressible magnetoelasticity
- Lectures on mappings of finite distortion
- Regularity of inverses of Sobolev deformations with finite surface energy
- Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity
- Fracture surfaces and the regularity of inverses for BV deformations
- Boundedness of minimizers
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
- Regularity properties of deformations with finite energy
- Convexity conditions and existence theorems in nonlinear elasticity
- Weakly monotone functions
- Approximation in Sobolev spaces of nonlinear expressions involving the gradient
- Manifold constrained variational problems
- Optimal Orlicz-Sobolev embeddings
- An existence theory for nonlinear elasticity that allows for cavitation
- Degree formulas for maps with nonintegrable Jacobian
- Continuity properties of weakly monotone Orlicz-Sobolev functions
- Orlicz-Sobolev nematic elastomers
- On the theory of relaxation in nonlinear elasticity with constraints on the determinant
- Lusin's condition and the distributional determinant for deformations with finite energy
- Liquid Crystal Elastomers and Phase Transitions in Actin Rod Networks
- Fine behavior of functions whose gradients are in an Orlicz space
- On generalized Lorentz-Zygmund spaces
- Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers
- Frank energy for nematic elastomers: a nonlinear model
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
- Direct methods in the calculus of variations