Extending the Knops-Stuart-Taheri technique to $C^{1}$ weak local minimizers in nonlinear elasticity
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Publication:3003579
DOI10.1090/S0002-9939-2010-10637-8zbMath1215.49012OpenAlexW2022020347MaRDI QIDQ3003579
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Publication date: 27 May 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10637-8
Variational inequalities (49J40) Regularity of solutions in optimal control (49N60) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)
Related Items (4)
On the uniqueness of energy minimizers in finite elasticity ⋮ (High frequency-) uniqueness criteria for \(p\)-growth functionals in in- and compressible elasticity ⋮ Uniqueness of equilibrium with sufficiently small strains in finite elasticity ⋮ Twists and shear maps in nonlinear elasticity: explicit solutions and vanishing Jacobians
Cites Work
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- Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
- Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
- Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
- Implications of rank one convexity
- Convexity conditions and existence theorems in nonlinear elasticity
- Partial regularity of strong local minimizers in the multi-dimensional calculus of variations
- Convex integration for Lipschitz mappings and counterexamples to regularity
- On a new class of elastic deformations not allowing for cavitation
- Some Open Problems in Elasticity
- On one-homogeneous solutions to elliptic systems with spatial variable dependence in two dimensions
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- Special Topics in Elastostatics
- Maximal smoothness of solutions to certain Euler–Lagrange equations from nonlinear elasticity
- Quasiconvexity and uniqueness of stationary points in the multi-dimensional calculus of variations
- Invertibility and a Topological Property of Sobolev Maps
- Direct methods in the calculus of variations
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