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math.OC2025
Some obstacle problems for partially hinged plates and related optimization issues
Elvise Berchio, Filomena Feo, Antonio Giuseppe Grimaldi
We study optimization problems for partially hinged rectangular plates, modeling bridge roadways, in the presence of real and artificial obstacles. Real obstacles represent structu…
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…