Let $\Omega_\varepsilon$ be a thin strip in $\mathbb{R}^2$ and $-\Delta_{DN}^{\Omega_\varepsilon}$ the Dirichlet-Neumann Laplacian in $\Omega_\varepsilon$. In this work, we study the spectral problem of $-\Delta_{DN}^{\O ...

Let $\Omega$ be a domain in $\mathbb {R}^3$. Consider $-\Delta_{\Omega_\beta}^D$ the Dirichlet Laplacian operator in $\Omega_\beta$. In this work, we performed a detailed analysis of the spectral properties of ...