Fractional Sobolev isometric immersions of planar domains
type: Item
instance of: scholarly article
title: Fractional Sobolev isometric immersions of planar domains
zbMATH Open document ID: 1548.3511
DOI: 10.2422/2036-2145.202107_007
author: Siran Li
author: Mohammad Reza Pakzad
author: Armin Schikorra
published in: Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
publication date: 2024-09-22T00:00:00Z
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 53C24
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 7917516
zbMATH Keywords: distributional Jacobian determinant
MaRDI profile type: Publication
cites work: Q4073917
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Q4112938
cites work: Lifting, degree, and distributional Jacobian revisited
cites work: Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\)
cites work: Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces
cites work: The Jacobian determinant revisited
cites work: Degree theory of BMO. I: Compact manifolds without boundaries
cites work: Compensated compactness and Hardy spaces
cites work: Onsager's conjecture on the energy conservation for solutions of Euler's equation
cites work: h-Principle and Rigidity for C 1,α Isometric Embeddings
cites work: Confining thin elastic sheets and folding paper
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Improved Poincar\'e inequalities in fractional Sobolev spaces
cites work: Q3379029
cites work: A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
cites work: Coarea formulae and chain rules for the Jacobian determinant in fractional Sobolev spaces
cites work: Classical Fourier Analysis
cites work: Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems
cites work: Q4328577
cites work: Q3408353
cites work: Dimension distortion of images of sets under Sobolev mappings
cites work: Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
cites work: Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
cites work: Continuation of Infinitesimal Bendings on Developable Surfaces and Equilibrium Equations for Nonlinear Bending Theory of Plates
cites work: Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
cites work: Some Rigidity Results Related to Monge–Ampèere Functions
cites work: Sobolev spaces of isometric immersions of arbitrary dimension and co-dimension
cites work: Q4552394
cites work: Q5391622
cites work: Stability of slender bodies under compression and validity of the von Kármán theory
cites work: Sharp commutator estimates via harmonic extensions
cites work: Convex integration for the Monge-Ampère equation in two dimensions
cites work: \(W^{s,\frac{n}{s}}\)-maps with positive distributional Jacobians
cites work: Q3273462
cites work: Interpolation Theory
cites work: A Sobolev non embedding
cites work: Higher integrability of determinants and weak convergence in L1.
cites work: Regularity properties of isometric immersions
cites work: On the Sobolev space of isometric immersions
cites work: Q5556056
cites work: Q4893982
cites work: Weak limits of fractional Sobolev homeomorphisms are almost injective
cites work: Boundary regularity and the Dirichlet problem for harmonic maps
cites work: Hodge decomposition. A method for solving boundary value problems
cites work: The Characterisation of the Regularity of the Jacobian Determinant in the Framework of Potential Spaces
cites work: Q5550061
cites work: Q3878033
cites work: Q4169288
cites work: Limitations on the smooth confinement of an unstretchable manifold
cites work: An existence theorem for surfaces of constant mean curvature
cites work: Fractional Sobolev extension and imbedding
description: scientific article; zbMATH DE number 7917516