4 papers · 1 filter
Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities
Konstantinos T. Gkikas, Miltiadis Paschalis
Let () be a bounded domain and be a compact submanifold of dimension . Denote the distance from by . In…
Hardy inequalities and uncertainty principles in the presence of a black hole
Miltiadis Paschalis
In this paper we establish Hardy and Heisenberg uncertainty-type inequalities for the exterior of a Schwarzschild black hole. The weights that appear in both inequalities are tailo…
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…
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…