\(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions

DOI10.1007/s00033-021-01550-6zbMath1465.35016OpenAlexW3094358578MaRDI QIDQ2031402

Patrizio Neff, Peter Lewintan

Publication date: 9 June 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01550-6

zbMATH Keywords

incompatibilityLions lemmaNečas estimate\(W^{1, p}\) curl-Korn's inequalitygeneralized curl

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) PDEs in connection with mechanics of deformable solids (35Q74) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (8)

L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions ⋮ The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters ⋮ Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions ⋮ \(L^p\)-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with \(p\)-integrable exterior derivative ⋮ \(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy ⋮ Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations) ⋮ Matrix representation of a cross product and related curl-based differential operators in all space dimensions

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