Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\)
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Publication:280831
DOI10.1016/j.matpur.2016.02.006zbMath1337.53009OpenAlexW2298774316MaRDI QIDQ280831
Sorin Mardare, Philippe G. Ciarlet
Publication date: 10 May 2016
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2016.02.006
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Nonlinear elasticity (74B20) Methods of local Riemannian geometry (53B21)
Related Items
On asymptotic rigidity and continuity problems in nonlinear elasticity on manifolds and hypersurfaces, A nonlinear Korn inequality in \(W^{2,p}\), \(p>n\), Stability of isometric immersions of hypersurfaces, Continuity in Fréchet topologies of a surface as a function of its fundamental forms, \(W^{2,p}\)-estimates for surfaces in terms of their two fundamental forms, A surface in \(W^{2,p}\) is a locally Lipschitz-continuous function of its fundamental forms in \(W^{1,p}\) and \(L^p\), \(p>2\), Recovery of immersions from their metric tensors and nonlinear Korn inequalities: a brief survey, Reshetnyak rigidity for Riemannian manifolds, Continuity of a surface in Fréchet spaces, New estimates of the distance between two surfaces in terms of the distance between their fundamental forms
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