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

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.
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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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