Weyl asymptotics for singular metrics with a variable boundary degeneracy exponent

Yves Colin de Verdière, Charlotte Dietze, Emmanuel Trélat

We consider a compact smooth manifold $X$ of dimension $n+1$ with boundary $M=\partial X$. In a collar neighborhood of $M$, we assume that the metric has the form $g=u^{-\hat{I}\pm }\bar{g}$…