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The Korn inequality for Jones domains. (English) Zbl 1134.35396
Summary: We prove the Korn inequality, and its generalization to \(L^p\), \(1<p<\infty\), for bounded domains \(\Omega\subset\mathbb R ^n\), \(n\geq 2\), satisfying an \((\epsilon,\delta)\) condition.

35Q72 Other PDE from mechanics (MSC2000)
35B45 A priori estimates in context of PDEs
74B05 Classical linear elasticity
74G99 Equilibrium (steady-state) problems in solid mechanics
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