Data di Pubblicazione:
2009
Citazione:
On Trudinger–Moser type inequalities involving Sobolev–Lorentz spaces / B. Ruf, C. Tarsi. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 188:3(2009 Jul), pp. 369-397. [10.1007/s10231-008-0077-2]
Abstract:
Generalizations of the Trudinger-Moser inequality to Sobolev-Lorentz spaces with weights are considered. The weights in these
spaces allow for the addition of certain lower order terms in the exponential integral. We prove an explicit relation between
the weights and the lower order terms; furthermore, we show that the resulting inequalities are sharp, and that there are
related phenomena of concentration-compactness.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Lorentz spaces; Trudinger-Moser inequality
Elenco autori:
B. Ruf, C. Tarsi
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