2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73719For various compactly supported perturbations of the Laplacian in odd dimensions $n$, we prove a sharp upper bound of the resonance counting function $N(r)$ of the type $N(r) \le A_n r^n(1+o(1))$ with an explicit constant $A_n$. In a few special cases, we show that this estimate turns into an asymptotic.Analysis of PDEsMathematical Physics35P25text