How large can hardy-weight be?

Nonlinear Analysis and PDE Group Seminar with Yehuda Pinchover (The Technion - Israel Institute of Technology)

In the first part of the talk we will discuss the existence of optimal Hardy-type inequalities with ‘as large as possible’ Hardy-weight for a general second-order elliptical operator defined on noncompact Riemannian manifolds and discrete graphs, while the second part of the talk will be devoted to a sharp answer to the question: “How large can Hardy-weight be?”