most citedCharacterization of anisotropic high order Sobolev spaces

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.AP2025

Necessary and Sufficient Conditions for the Maz'ya-Shaposhnikova Formula in (Fractional) Sobolev Spaces

Elisa Davoli, Giovanni Di Fratta, Rossella Giorgio +1

We investigate the asymptotic behavior, as , of nonlocal functionals $$ \mathcal{F}_{\varepsilon}(u) = \iint_{\mathbb{R}^N\times\mathbb{R}^N} ρ_{\varepsilon}(y-x…

math.AP2018★ 1 cited

Characterization of anisotropic high order Sobolev spaces

Nguyen Lam, Ali Maalaoui, Andrea Pinamonti

We establish two types of characterizations for high order anisotropic Sobolev spaces. In particular, we prove high order anisotropic versions of Bourgain-Brezis- Mironescu's formu…