2 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
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…
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…
A weighted setting for the numerical approximation of the Poisson problem with singular sources
Irene Drelichman, Ricardo Durán, Ignacio Ojea
We consider the approximation of Poisson type problems where the source is given by a singular measure and the domain is a convex polygonal or polyhedral domain. First, we prove th…
Anisotropic finite elements for elliptic problems with singular data
Ignacio Ojea
We study the problem , where is a singular measure, with support on a curve or a point. We prove that optimal rates of convergence for the finite element method can be…