Data di Pubblicazione:
2012
Citazione:
Sharp Adams-type inequalities in R^n / B. Ruf, F. Sani. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 365:2(2012), pp. 645-670. [10.1090/S0002-9947-2012-05561-9]
Abstract:
We prove an Adams type inequality for unbounded domains in R^4
and in particular for R^4. We prove that for a suitable norm, the Adams functional
is bounded by a constant independent of the domain.
Furthermore, we generalize this result to arbitrary Sobolev spaces of even order.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Limiting Sobolev embeddings ; Trudinger-Moser inequalities ; inequality
of D. R. Adams ; best constants
Elenco autori:
B. Ruf, F. Sani
Link alla scheda completa: