Density properties for fractional Sobolev spaces with variable exponents

Azeddine Baalal (1) , Mohamed Berghout

1 UH2MC - Université Hassan II [Casablanca]

In this article we show some density properties of smooth and compactly supported functions in fractional Sobolev spaces with variable exponents. The additional difficulty in this nonlocal setting is caused by the fact that the variable exponent Lebesgue spaces are not translation-invariant.

Domaines: Mathématiques [math]; Analyse fonctionnelle [math.FA]

Azeddine Baalal, Mohamed Berghout. Density properties for fractional Sobolev spaces with variable exponents. Annals of Functional Analysis, 2019, 10 (3), pp.308-324. ⟨10.1215/20088752-2018-0031⟩. ⟨hal-02338668⟩