29 citations · 36 across the 13 of their papers we have counts for
18 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…
Stability of the Ritz projection in weighted
Irene Drelichman, Ricardo G. Duran
We prove the stability in weighted spaces for standard finite element approximations of the Poisson equation in convex polygonal or polyhedral domains, when the weight be…
An interpolation result for weights with applications to fractional Poincaré inequalities
Irene Drelichman
We characterize the real interpolation space between weighted and spaces on arbitrary domains different from , when the weights are positive powers of…
Weighted fractional Sobolev spaces as interpolation spaces in bounded domains
Gabriel Acosta, Irene Drelichman, Ricardo G. Durán
We characterize the real interpolation space between a weighted space and a weighted Sobolev space in arbitrary bounded domains in , with weights that are posit…
The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains
Irene Drelichman, Ricardo G. Durán
We obtain a Bourgain-Brézis-Mironescu formula on the limit behaviour of a modified fractional Sobolev seminorm when , which is valid in arbitrary bounded domains. In t…
Improved fractional Poincaré type inequalities on John domains
María Eugenia Cejas, Irene Drelichman, Javier C. Martínez-Perales
We obtain improved fractional Poincaré inequalities in John domains of a metric space endowed with a doubling measure under some mild regularity conditions on the meas…