Abstract
Let \(\Omega \) be an open subset of \(\mathbb{R}^{n},\ n \geq 2,\) with non-empty boundary, and set
for the distance of \(\mathbf{x} \in \Omega \) to the boundary \(\partial \Omega \) of \(\Omega \). Our main objective in this chapter is to gather information about the regularity properties of δ.
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Balinsky, A.A., Evans, W.D., Lewis, R.T. (2015). Boundary Curvatures and the Distance Function. In: The Analysis and Geometry of Hardy's Inequality. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-22870-9_2
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