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arXiv · 2607.02273

A Minkowski Theory for the Exterior Capacitary Volumes and A Resolution of the Pólya-Szegö Conjecture

Qiushuang Liu·Jie Xiao·Ning Zhang·Rubin Zhang·Baocheng Zhu
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Abstract

This paper establishes a unified Minkowski theory for exterior p-capacitary volumes and resolves the classical Pólya-Szegö conjecture on the electrostatic capacity of convex bodies.

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Qiushuang Liu, Jie Xiao, Ning Zhang, Rubin Zhang, Baocheng Zhu. 2026-07-31. A Minkowski Theory for the Exterior Capacitary Volumes and A Resolution of the Pólya-Szegö Conjecture. https://arxiv.org/abs/2607.02273

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