On Korn's First Inequality for Mixed Tangential and Normal Boundary Conditions on Bounded Lipschitz-Domains in RN\mathbb{R}^N

preprint2016arXivOpen access

Abstract

We prove that for bounded Lipschitz domains in RN\mathbb{R}^N Korn's first inequality holds for vector fields satisfying homogeneous mixed normal and tangential boundary conditions.

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