On a canonical extension of Korn's first and Poincaré's inequalities to \(\mathsf{H}(\mathrm{Curl})\)

DOI10.1007/S10958-012-0955-4zbMath1308.35303OpenAlexW2007770941MaRDI QIDQ1947242

Patrizio Neff, Karl-Josef Witsch, Dirk Pauly

Publication date: 19 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0955-4

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) PDEs in connection with mechanics of deformable solids (35Q74) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions ⋮ Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions ⋮ New Poincaré-type inequalities ⋮ A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor ⋮ Homogenization for dislocation based gradient visco-plasticity ⋮ Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields

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