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 H1/2,2{H^{1/2,2}} on the whole real line. We prove the relation between two inequalities and discuss the attainability of the suprema.
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-11-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2017-0116 |