Nonlinear Korn inequalities in \(\mathbb R^n\), with or without boundary conditions

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

zbMATH Keywords

Lipschitz boundary

Mathematics Subject Classification ID

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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