Korn's inequality and Donati's theorem for the conformal Killing operator on pseudo-Euclidean space

DOI10.1016/j.jmaa.2008.04.063zbMath1145.35422OpenAlexW2092573095MaRDI QIDQ932349

Wei Wang

Publication date: 10 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.063

zbMATH Keywords

elliptic systemKorn's inequalityconformal Killing operator on pseudo-Euclidean spaceregular elliptic boundary value problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) First-order hyperbolic systems (35L40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

On the Hodge-type decomposition and cohomology groups of \(k\)-Cauchy-Fueter complexes over domains in the quaternionic space ⋮ L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

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