A nonlinear Korn inequality in \(W^{2,p}\), \(p>n\)

DOI10.1016/J.CRMA.2015.07.009zbMath1329.35018OpenAlexW1668538246MaRDI QIDQ889481

Sorin Mardare, Philippe G. Ciarlet

Publication date: 6 November 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.2015.07.009

zbMATH Keywords

Lipschitz domain

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear first-order PDEs (35F20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\) ⋮ Recovery of immersions from their metric tensors and nonlinear Korn inequalities: a brief survey

Cites Work

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• Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\)
• Recovery of immersions from their metric tensors and nonlinear Korn inequalities: a brief survey
• Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\)
• Nonlinear Korn inequalities
• On systems of first order linear partial differential equations with \(L^p\) coefficients
• New integral estimates for deformations in terms of their nonlinear strains
• Manifolds, tensor analysis, and applications.
• Nonlinear Korn inequalities in \(\mathbb R^n\), with or without boundary conditions
• Rotation and strain
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• ON ISOMETRIC IMMERSIONS OF A RIEMANNIAN SPACE WITH LITTLE REGULARITY

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