Università degli Studi di Padova

Finsler-Rellich inequalities involving the distance to the boundary

Giovedì 5 Maggio 2022, ore 15:00 - Aula 2BC60 e Zoom - Miltiadis Paschalis (Università di Atene)


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 case of a half-space we obtain the sharp constant while for a general convex domain we obtain estimates that are better than those obtained by comparison with the polyharmonic operator.