TY - JOUR T1 - Remarks on the Moser–Trudinger inequality JF - Advances in Nonlinear Analysis Y1 - 2013 A1 - Gabriele Mancini A1 - Luca Battaglia AB -

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.

PB - Advances in Nonlinear Analysis VL - 2 UR - http://edoc.unibas.ch/43974/ IS - 4 N1 - The article is composed of 32 pages inad recorded in PDF format U1 - 34666 U2 - Mathematics U4 - 1 U5 - MAT/05 ER -