论文标题
扭转功能的某些特性在罗宾边界条件下
Some properties of the torsion function with Robin boundary conditions
论文作者
论文摘要
在本文中，我们研究了扭转功能的某些特性，该功能具有罗宾边界条件。在这里，我们编写$ l^{\ infty} $和$ l^p $规范的形状衍生物，对于$ p \ ge 1 $，是扭转功能的$ p \ ge 1 $，在一个有界的简单连接的开放式$ω\ subbb {r}^n $上是功能上的功能，并且保留了这些$ $ $ $ $ $ $ $ $。
In this paper we study some properties of the torsion function with Robin boundary conditions. Here we write the shape derivative of the $L^{\infty}$ and $L^p$ norms, for $p\ge 1$, of the torsion function, seen as a functional on a bounded simply connected open set $Ω\subset \mathbb{R}^n$, and prove that the balls are critical shapes for these functionals, when the volume of $Ω$ is preserved.
