On vibrating thin membranes with mass concentrated near the boundary: an asymptotic analysis

Matteo Dalla Riva, Luigi Provenzano

We consider the spectral problem \begin{equation*} \left\{\begin{array}{ll} -Δu_{\varepsilon}=λ(\varepsilon)ρ_{\varepsilon}u_{\varepsilon} & {\rm in}\ Ω\\ \frac{\partial u_{\vareps…