3 papers
math.FA2025
Riesz potential estimates under co-canceling constraints
D. Breit, A. Cianchi, D. Spector
Inequalities for Riesz potentials are well-known to be equivalent to Sobolev inequalities of the same order for domain norms ``far" from , but to be weaker otherwise. Recent c…
math.FA2025
Sobolev inequalities for canceling operators
Dominic Breit, Andrea Cianchi, Daniel Spector
Sobolev type inequalities involving homogeneous elliptic canceling differential operators and rearrangement-invariant norms on the Euclidean space are considered. They are characte…
math.AP2025
The Stokes problem with Navier boundary conditions in irregular domains
Dominic Breit, Sebastian Schwarzacher
We consider the steady Stokes equations supplemented with Navier boundary conditions including a non-negative friction coefficient. We prove maximal regularity estimates (including…