Ujjal Das

Strictly positive optimal Hardy weights on manifolds and graphs via Green potential

Consider a subcritical functional $Q$ associated with a $p$-Schr\"odinger operator defined on a domain $\Omega$ in noncompact Riemannian manifold. Employing the supersolution construction, we obtain a family of strictly positive critical Hardy weights for $Q$. The construction is based on the Green potential, with a st...