Nonlinear Korn inequalities in \(\mathbb R^n\), with or without boundary conditions
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Publication:2351839
DOI10.1016/j.crma.2015.03.004zbMath1320.35011OpenAlexW2075792108MaRDI QIDQ2351839
Philippe G. Ciarlet, Christinel Mardare
Publication date: 26 June 2015
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2015.03.004
Nonlinear elasticity (74B20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (4)
Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\) ⋮ A nonlinear Korn inequality in \(W^{2,p}\), \(p>n\) ⋮ Nonlinear Korn inequalities ⋮ Recovery of immersions from their metric tensors and nonlinear Korn inequalities: a brief survey
Cites Work
- Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\)
- Nonlinear Korn inequalities
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Equivalent Norms for Sobolev Spaces
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