Optimal Hardy Weight for Second-Order Elliptic Operator: An Answer to a Problem of Agmon

B. Devyver, M. Fraas, Y. Pinchover

For a general subcritical second-order elliptic operator $P$ in a domain $\Omega \subset {\mathbb{R}}^n$ (or noncompact manifold), we construct Hardy-weight $W$ which is optimal in the fol…