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math.AP2021
Geometric Hardy inequalities via integration on flows
Miltiadis Paschalis
We introduce a geometric approach of integral curves for functional inequalities involving directional derivatives in the general context of differentiable manifolds that are equip…
math.AP2021
Finsler-Rellich inequalities involving the distance to the boundary
Gerassimos Barbatis, Miltiadis Paschalis
We study Rellich inequalities associated to higher-order elliptic operators in the Euclidean space. The inequalities are expressed in terms of an associated Finsler metric. In the…