Dirichlet and Neumann problems for planar domains with parameter

Florian Bertrand, Xianghong Gong

Let $\Gamma (\cdot ,\lambda )$ be smooth, i.e.\, ${\mathcal{C}}^{\infty }$, embeddings from $\bar{\Omega }$ onto $\overline{{\Omega }^{\lambda }}$, where $\Omega$ and ${\Omega }^{\lambda }$ are bounded domains with smooth boundary in the complex plane…