Ricardo G. Dur'an

activity

20082021

collaborators

4 papers

math.AP2021

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 $s ↗ 1$ , which is valid in arbitrary bounded domains. In t…

math.CA2017

On the interpolation space $(L^{p} (Ω), W^{1, p} (Ω))_{s, p}$ in non-smooth domains

Irene Drelichman, Ricardo G. Durán

We show that, for certain non-smooth bounded domains $Ω \subset R^{n}$ , the real interpolation space $(L^{p} (Ω), W^{1, p} (Ω))_{s, p}$ is the subspace $\widetilde W^{s,p}(Ω) \subse…

math.CA2017

Improved Poincaré inequalities in fractional Sobolev spaces

Irene Drelichman, Ricardo G. Durán

We obtain improved fractional Poincaré and Sobolev Poincaré inequalities including powers of the distance to the boundary in John, $s$ -John domains and Hölder- $α$ domains, and disc…

math.AP2008

A right inverse of the divergence for planar Hölder- $α$ domains

Ricardo G. Durán, Fernando López García

If $Ω \subset R^{n}$ is a bounded domain, the existence of solutions $u \in H_{0}^{1} (Ω)^{n}$ of $d i v u = f$ for $f \in L^{2} (Ω)$ with vanishing mean value, is a basic result in t…

The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains

On the interpolation space (Lp(Ω),W1,p(Ω))s,p​ in non-smooth domains

Improved Poincaré inequalities in fractional Sobolev spaces

A right inverse of the divergence for planar Hölder-α domains

On the interpolation space $(L^{p} (Ω), W^{1, p} (Ω))_{s, p}$ in non-smooth domains

A right inverse of the divergence for planar Hölder- $α$ domains