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Article Dans Une Revue Rendiconti Lincei. Matematica e Applicazioni Année : 2018

On the Moser–Trudinger inequality in fractional Sobolev–Slobodeckij spaces

Résumé

We give a contribution to the problem of finding the optimal exponent in the Moser-Trudinger inequality in the fractional Sobolev-Slobodeckij space (W) over tildeo(s,p)(Omega), where Omega subset of R-N is a bounded domain, is an element of (0, 1), and sp = N. We exhibit an explicit exponent alpha*(s, N) > 0, which does not depend on Omega, such that the Moser-Trudinger inequality does not hold true for is an element of (alpha*(s, N), +infinity).

Dates et versions

hal-02014236 , version 1 (11-02-2019)

Identifiants

Citer

Enea Parini, Bernhard Ruf. On the Moser–Trudinger inequality in fractional Sobolev–Slobodeckij spaces. Rendiconti Lincei. Matematica e Applicazioni, 2018, 29 (2), pp.315-319. ⟨10.4171/RLM/808⟩. ⟨hal-02014236⟩
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