论文标题

与$ p $可容纳的能量的等等结果

An isoperimetric result for an energy related to the $p$-capacity

论文作者

Acampora, Paolo, Cristoforoni, Emanuele

论文摘要

在本文中,我们通过用Robin One代替Dirichlet边界条件,将相对$ p $ - 容量的相对$ p $ - 容量为$ k $的概念。我们表明,在数量限制下,当$ k $和$ω$是同心球时,我们的$ p $容量的概念很少。我们使用$ h $功能和derearrangement技术。

In this paper, we generalize the notion of relative $p$-capacity of $K$ with respect to $Ω$, by replacing the Dirichlet boundary condition with a Robin one. We show that, under volume constraints, our notion of $p$-capacity is minimal when $K$ and $Ω$ are concentric balls. We use the $H$-function and a derearrangement technique.

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