activity
20162026
most citedSome inequalities on weighted Sobolev spaces, distance weights and the Assouad dimension

2 citations · 2 across the 7 of their papers we have counts for

collaborators
Showing math.APShow all

5 papers · 1 filter

math.AP2026

The Fractional Korn Inequality on Uniform Domains and New Korn Inequalities for Truncated Seminorms

Gabriel Acosta, Irene Drelichman, Ricardo Durán +2

We prove the so-called second case of the fractional Korn inequality for uniform domains. We obtain this result as an application of a novel fractional Korn-type inequality formula…

math.AP2024

Poincaré and Sobolev inequalities with variable exponents and log-Holder continuity only at the boundary

David Cruz-Uribe, Fernando López-García, Ignacio Ojea

We prove Sobolev-Poincaré and Poincaré inequalities in variable Lebesgue spaces , with a bounded John domain, with weaker regularity assump…

math.AP2023

Anisotropic regularity for elliptic problems with Dirac measures as data

Ignacio Ojea

We study the Possion problem with singular data given by a source supported on a one dimensional curve strictly contained in a three dimensional domain. We prove regularity results…

math.AP2022★ 2 cited

Some inequalities on weighted Sobolev spaces, distance weights and the Assouad dimension

Fernando López-García, Ignacio Ojea

We study certain inequalities and a related result on weighted Sobolev spaces on bounded John domains in . Namely, we prove the existence of a right inverse for the d…

math.AP2021

Weighted discrete Hardy inequalities on trees and applications

Fernando López-García, Ignacio Ojea

In this paper, we study certain inequalities and a related result for weighted Sobolev spaces on Hölder- domains, where the weights are powers of the distance to the boundary. W…