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

Sebastian Bauer; Dirk Pauly

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arXiv · 1512.08483

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

Sebastian Bauer·Dirk Pauly

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Abstract

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

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Sebastian Bauer, Dirk Pauly. 2016-08-19. On Korn's First Inequality for Mixed Tangential and Normal Boundary Conditions on Bounded Lipschitz-Domains in $\mathbb{R}^N$. https://arxiv.org/abs/1512.08483

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