Ricardo G. Dur'an

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20082021

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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.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

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

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