Josep M. Gallegos

collaborators

3 papers

math.AP2025

Propagation of smallness near codimension two for gradients of harmonic functions

Benjamin Foster, Josep Gallegos

Let $u$ be a harmonic function in the unit ball $B_{1} \subset R^{n}$ , normalized so that its gradient has magnitude at most 1 on the unit ball. We show that if the gradient of…

math.AP2025

One-sided Rellich inequalities, Regularity problem and uniform rectifiability

Josep M. Gallegos

Let $Ω \subset R^{n + 1}$ , $n \geq 1$ , be a bounded open set satisfying the interior corkscrew condition with a uniformly $n$ -rectifiable boundary but without any connectivity a…

math.AP2023

Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains

Josep M. Gallegos, Mihalis Mourgoglou, Xavier Tolsa

Let $Ω \subset R^{n + 1}$ , $n \geq 2$ , be an open set satisfying the corkscrew condition with $n$ -Ahlfors regular boundary $\partial Ω$ , but without any connectivity assumption.…