Critical and subcritical fractional Trudinger–Moser-type inequalities on ℝ \mathbb{R}

Critical and subcritical fractional Trudinger–Moser-type inequalities on ℝ \mathbb{R}

In this paper, we are concerned with the critical and subcritical Trudinger–Moser-type inequalities for functions in a fractional Sobolev space on the whole real line. We prove the relation between two inequalities and discuss the attainability of the suprema.

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Veröffentlicht in:Advances in nonlinear analysis 2017-11, Vol.8 (1), p.868-884
1. Verfasser: Takahashi, Futoshi
Format: Artikel
Sprache:eng
Schlagworte:
26D10
35A23
fractional Sobolev spaces
maximizing problem
Trudinger–Moser inequality
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Beschreibung
Zusammenfassung:In this paper, we are concerned with the critical and subcritical Trudinger–Moser-type inequalities for functions in a fractional Sobolev space on the whole real line. We prove the relation between two inequalities and discuss the attainability of the suprema.
ISSN:2191-9496
2191-950X
DOI:10.1515/anona-2017-0116