\(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions
type: Item
instance of: scholarly article
title: \(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions
zbMATH Open document ID: 1465.35016
author: Peter Lewintan
author: Patrizio Neff
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2021-06-09T00:00:00Z
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7356937
zbMATH Keywords: \(W^{1, p}\) curl-Korn's inequality
zbMATH Keywords: Lions lemma
zbMATH Keywords: Nečas estimate
zbMATH Keywords: generalized curl
zbMATH Keywords: incompatibility
MaRDI profile type: Publication
full work available at URL: s00033-021-01550-6
OpenAlex ID: W3094358578
cites work: Dev-Div- and Devsym-Devcurl-inequalities for incompatible square tensor fields with mixed boundary conditions
cites work: Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result
cites work: Generalized Korn's inequality and conformal Killing vectors
cites work: An application of a new coercive inequality to variational problems studied in general relativity and in Cosserat elasticity giving the smoothness of minimizers
cites work: On Korn-Maxwell-Sobolev inequalities
cites work: Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
cites work: Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
cites work: Nečas–Lions lemma revisited: An Lp‐version of the generalized Korn inequality for incompatible tensor fields
cites work: \(L^p\)-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with \(p\)-integrable exterior derivative
cites work: Subgrid interaction and micro-randomness - novel invariance requirements in infinitesimal gradient elasticity
cites work: Estimates for certain differential operators with finite-dimensional kernel
cites work: Q4314630
cites work: New Korn-type inequalities and regularity of solutions to linear elliptic systems and anisotropic variational problems involving the trace-free part of the symmetric gradient
cites work: Formulas to represent functions by their derivatives
DOI: 10.1007/S00033-021-01550-6
description: scientific article; zbMATH DE number 7356937