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Stability of isometric immersions of hypersurfaces - MaRDI portal

Stability of isometric immersions of hypersurfaces (Q6131054)

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scientific article; zbMATH DE number 7827380

Language	Label	Description	Also known as
English	Stability of isometric immersions of hypersurfaces	scientific article; zbMATH DE number 7827380

Statements

scholarly article

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Stability of isometric immersions of hypersurfaces (English)

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Forum of Mathematics, Sigma

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publication date

4 April 2024

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full work available at URL

https://arxiv.org/abs/2306.06654

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MaRDI profile type

MaRDI publication profile

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Asymptotic rigidity for shells in non-Euclidean elasticity

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Functional analysis, Sobolev spaces and partial differential equations

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On the smoothness of isometries

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The continuity of a surface as a function of its two fundamental forms.

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On asymptotic rigidity and continuity problems in nonlinear elasticity on manifolds and hypersurfaces

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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 \(W^{1,p}\)

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A surface in \(W^{2,p}\) is a locally Lipschitz-continuous function of its fundamental forms in \(W^{1,p}\) and \(L^p\), \(p>2\)

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New estimates of the distance between two surfaces in terms of the distance between their fundamental forms

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Continuity in Fréchet topologies of a surface as a function of its fundamental forms

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Rigidity and gamma convergence for solid‐solid phase transitions with SO(2) invariance

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Intrinsic colocal weak derivatives and Sobolev spaces between manifolds

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Elastic theory of unconstrained non-Euclidean plates

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A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

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On isometries and on a theorem of Liouville

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Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones

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Regularity of intrinsically convex \(W^{2,2}\) surfaces and a derivation of a homogenized bending theory of convex shells

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Sobolev spaces of isometric immersions of arbitrary dimension and co-dimension

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Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics

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Reshetnyak rigidity for Riemannian manifolds

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A Riemannian approach to reduced plate, shell, and rod theories

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Geometry, analysis, and morphogenesis: Problems and prospects

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Scaling laws for non-Euclidean plates and the<i>W</i><sup>2,2</sup>isometric immersions of Riemannian metrics

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Rigidity and regularity of co-dimension one Sobolev isometric immersions

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\(n\)-harmonic coordinates and the regularity of conformal mappings

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Regularity properties of isometric immersions

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On the role of curvature in the elastic energy of non-Euclidean thin bodies

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On the Sobolev space of isometric immersions

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Calculus of variations

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On the differential geometry of tangent bundles of Riemannian manifolds

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Existence and regularity of isometries

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On isometric immersions of riemannian manifolds

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Uhlenbeck compactness

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Identifiers

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10.1017/fms.2024.30

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6131054

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