Eigenvalue counting function for Robin Laplacians on conical domains

Vincent Bruneau, Konstantin Pankrashkin, Nicolas Popoff

We study the discrete spectrum of the Robin Laplacian $Q_{\alpha }^{\Omega }$ in $L^2(\Omega )$, \[ u\mapsto -Δu, \quad \dfrac{\partial u}{\partial n}=αu \text{ on }\partialΩ, \] where $Ω\subset \mathbb…