A Moser-type inequality in Lorentz-Sobolev spaces for unbounded domains in RN
نویسندگان
چکیده
We derive a Trudinger-Moser type embedding for the Lorentz-Sobolev space W 1 0 L (Ω), where Ω ⊆ R is any sufficiently smooth domain and in particular for Ω = R . Precisely, we first prove that the corresponding inequality is domain independent and then, by constructing explicit concentrating sequences à la Moser, we establish that the embedding inequality is sharp.
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 64 شماره
صفحات -
تاریخ انتشار 2009