On Korn inequalities with lower order trace terms

2025/09/30 by Gmeineder, Franz, Süli, Endre, Tscherpel, Tabea
#35A23 #35E20 #42B37 #46-04 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.26526

Abstract

We give an elementary estimate that entails and generalises numerous Korn inequalities scattered in the literature. As special instances, we obtain general Korn-type inequalities involving normal or tangential trace components, or lower dimensional trace integrals.

Citations

• A Priori Error Analysis for the p-Stokes Equations with Slip Boundary Conditions: A Discrete Leray Projection Framework
• Sharp trace and Korn inequalities for differential operators
• Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
• Trace-free Korn inequalities in Orlicz spaces
• Korn's inequality and John domains
• Poincare meets Korn via Maxwell: Extending Korn's First Inequality to\n Incompatible Tensor Fields
• A Compact Embedding Theorem for Generalized Sobolev Spaces
• A Canonical Extension of Korn's First Inequality to H(Curl) motivated by Gradient Plasticity with Plastic Spin

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• A note on the Korn inequality in a n-dimensional context
• Weighted asymptotic Korn and interpolation Korn inequalities with singular weights
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• Weighted generalized Korn inequality on John domains