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<p>This paper aims to study the logarithmic Minkowski problem for log-capacity and solve the case of discrete measures whose supports are in general position. By using Brunn-Minkowski type inequality for log-capacity, we prove symmetry result for solution to overdetermined problem.</p>

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The Discrete Logarithmic Minkowski Problem for Log-capacity

  • 期刊论文

  • 发表日期：

    2025年6月6日

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  • Lewen Ji

摘要

This paper aims to study the logarithmic Minkowski problem for log-capacity and solve the case of discrete measures whose supports are in general position. By using Brunn-Minkowski type inequality for log-capacity, we prove symmetry result for solution to overdetermined problem.