%0 Journal Article %J Advances in Nonlinear Analysis %D 2013 %T Remarks on the Moser–Trudinger inequality %A Gabriele Mancini %A Luca Battaglia %X

We extend the Moser-Trudinger inequality to any Euclidean domain satisfying Poincaré's inequality. We find out that the same equivalence does not hold in general for conformal metrics on the unit ball, showing counterexamples. We also study the existence of extremals for the Moser-Trudinger inequalities for unbounded domains, proving it for the infinite planar strip.

%B Advances in Nonlinear Analysis %I Advances in Nonlinear Analysis %V 2 %P 389-425 %G en %U http://edoc.unibas.ch/43974/ %N 4 %1 34666 %2 Mathematics %4 1 %# MAT/05 %$ Submitted by gmancini@sissa.it (gmancini@sissa.it) on 2015-08-07T13:45:19Z No. of bitstreams: 1 articolo1.pdf: 526978 bytes, checksum: 941a2e14ae2d0ff88b198a2e8c8c153e (MD5) %R 10.1515/anona-2013-0014