Anisotropic Isoperimetric Inequality outside Euclidean Ball

Yucheng Tu

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arXiv · 2007.12835

Anisotropic Isoperimetric Inequality outside Euclidean Ball

Yucheng Tu

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Abstract

We prove an sharp anisotropic isoperimetric inequality for a domain outside an Euclidean ball in $\mathbb{R}^n$ for $n\geq 2$. The proof applies the ABP method to a Neumann boundary value problem.

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Yucheng Tu. 2020-07-25. Anisotropic Isoperimetric Inequality outside Euclidean Ball. https://arxiv.org/abs/2007.12835

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