29 citations · 36 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…
Weighted Inequalities for the Fractional Laplacian and the Existence of Extremals
Pablo De Nápoli, Irene Drelichman, Ariel Salort
In this article we obtain improved versions of Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities, involving Besov norms of negative smoothness. As an application of the former…
Radial Solutions for Hamiltonian Elliptic Systems with Weights
Pablo L. De Napoli, Irene Drelichman, Ricardo G. Duran
We prove the existence of infinitely many radial solutions for elliptic systems in Rn with power weights. A key tool for the proof will be a weighted imbedding theorem for fraction…