Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result

DOI10.5802/crmath.161zbMath1464.49033arXiv2009.08384OpenAlexW3139199215MaRDI QIDQ2658211

Sergio Conti, Adriana Garroni

Publication date: 19 March 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08384

zbMATH Keywords

Hodge decompositionplasticitydiv-curl systemsKorn inequalityrigidity estimatesincompatible fields

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Variational problems in a geometric measure-theoretic setting (49Q20) Rigidity results (53C24)

Related Items (7)

Rotations with constant curl are constant ⋮ Line-tension limits for line singularities and application to the mixed-growth case ⋮ The tapering length of needles in martensite/martensite macrotwins ⋮ Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions ⋮ \(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions ⋮ On Korn-Maxwell-Sobolev inequalities ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

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