2 papers
math.FA2025
Weighted Hardy-Rellich inequalities via the Emden-Fowler transform
Elvise Berchio, Paolo Caldiroli
We exploit a technique based on the Emden-Fowler transform to prove optimal Hardy-Rellich inequalities on cones, including the punctured space $\mathb{R}^N\setminus\{0\}$ and the h…
math.DG2024
Planar closed curves with prescribed curvature
Paolo Caldiroli, Anna Capietto
By variational methods, we prove existence of planar closed curves with prescribed curvature for some classes of curvature functions. The main difficulty is to obtain bounded Palai…