Data di Pubblicazione:
2008
Citazione:
A sharp Trudinger-Moser type inequality for unbounded domains in R^n / Y. Li, B. Ruf. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - 57:1(2008), pp. 451-480.
Abstract:
The Trudinger-Moser inequality states that for functions u in the Sobolev space H^1,n
over a bounded domain with a certain exponential integral is bounded by a constant depending on the domain, but not on u. Recently, the second author has shown that for n = 2 the bound the constant is independent of the domain if the Dirichlet norm is replaced by the full Sobolev norm,
We extend here this result to arbitrary dimensions n > 2. Also, we prove that on all of R^n the corresponding supremum is attained. The proof is based on a blow-up procedure.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Best constant; Blow-up; Trudinger-Moser inequality; Unbounded domain
Elenco autori:
Y. Li, B. Ruf
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