论文标题
在形状衍生产品公式上，罗宾$ p $ - laplace eigenvalue
On a shape derivative formula for the Robin $p$-Laplace eigenvalue
论文作者
论文摘要
我们获得了Robin $ p $ -laplace运算符的第一个特征值的形状衍生公式。该结果用于研究第一个特征值在域的扰动方面的变化。特别是，我们证明，对于边界参数的大值，相对于平滑域的域包含，第一个特征值是单调的。
We obtain shape derivative formulae for the first eigenvalue of the Robin $p$-Laplace operator. This result is used to study the variation of the first eigenvalue with respect to perturbations of the domain. In particular, we prove that for large values of the boundary parameter, the first eigenvalue is monotonic with respect to domain inclusion for smooth domains.
