On approximate differentiability of functions with bounded deformation

DOI10.1007/BF02567939zbMath0868.46024MaRDI QIDQ1352965

Piotr Hajłasz

Publication date: 8 April 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156214

zbMATH Keywords

approximately differentiablefunctions with bounded deformationsymmetric part of the gradient

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (14)

The jump set under geometric regularisation. II: Higher-order approaches ⋮ Lusin-type approximation of BD functions ⋮ Approximate differentiability almost everywhere ⋮ Korn type inequalities in Orlicz spaces ⋮ Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation ⋮ Symmetric-convex functionals of linear growth ⋮ Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials ⋮ On the \(L^p\)-differentiability of certain classes of functions ⋮ Description of limiting vorticities for the magnetic 2D Ginzburg-Landau equations ⋮ Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms ⋮ Critical weak-\(L^p\) differentiability of singular integrals ⋮ On critical \(\mathrm{L}^p\)-differentiability of BD-maps ⋮ Critical 𝐿^{𝑝}-differentiability of 𝐵𝑉^{}𝔸-maps and canceling operators ⋮ A Bourgain-Brezis-Mironescu representation for functions with bounded deformation

Cites Work

• A non-inequality for differential operators in the \(L_ 1\) norm
• Existence of the displacements field for an elasto-plastic body subject to Hecky's law and von Mises yield condition
• Functions of bounded deformation
• Fine properties of functions with bounded deformation
• Sobolev spaces on an arbitrary metric space
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• On totally differentiable and smooth functions
• On the existence of certain singular integrals
• Les espaces du type de Beppo Levi
• Weakly Differentiable Functions
• Coercive inequalities on weighted Sobolev spaces
• Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On approximate differentiability of functions with bounded deformation