首页|A lower bound for the logarithmic energy on $\mathbb{S}^2$ and for the Green energy on $\mathbb{S}^n$

A lower bound for the logarithmic energy on $\mathbb{S}^2$ and for the Green energy on $\mathbb{S}^n$

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英文摘要

We show an alternative proof of the sharpest known lower bound for the logarithmic energy on the unit sphere $\mathbb{S}^2$. We then generalize this proof to get new lower bounds for the Green energy on the unit $n$-sphere $\mathbb{S}^n$.

作者：Carlos Beltr¨￠n、F¨￠tima Lizarte

作者单位：Universidad de CantabriaUniversidad de Cantabria

学科分类：数学

推荐引用：Carlos Beltr¨￠n,F¨￠tima Lizarte.A lower bound for the logarithmic energy on $\mathbb{S}^2$ and for the Green energy on $\mathbb{S}^n$[EB/OL].(2022-05-05)[2025-07-21].https://arxiv.org/abs/2205.02755.点此复制

A lower bound for the logarithmic energy on $\mathbb{S}^2$ and for the Green energy on $\mathbb{S}^n$

A lower bound for the logarithmic energy on $\mathbb{S}^2$ and for the Green energy on $\mathbb{S}^n$

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