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 formula and Nguyen's formula.

Characterizations of anisotropic high order Sobolev spaces / Lam, N.; Maalaoui, A.; Pinamonti, A.. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 113:4(2019), pp. 239-260. [10.3233/ASY-181515]

Characterizations of anisotropic high order Sobolev spaces

Pinamonti A.
2019-01-01

Abstract

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 formula and Nguyen's formula.
2019
4
Lam, N.; Maalaoui, A.; Pinamonti, A.
Characterizations of anisotropic high order Sobolev spaces / Lam, N.; Maalaoui, A.; Pinamonti, A.. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 113:4(2019), pp. 239-260. [10.3233/ASY-181515]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/251557
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