Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature

Abstract

Let $M$ be a complete, simply connected Riemannian manifold with negative curvature. We obtain some Moser-Trudinger inequalities with sharp constants on $M$.

There is a gap in the proof of Theorem 1.1 and 1.2. We thank C. Morpurgo for pointing out this fact to us. A partial fix has been given by L. Fontana, C. Morpurgo and L. Qin in a forthcoming paper: Moser-Trudinger inequalities: from local to global, Ann. Mat. Pura Appl., to appear

References in corpus (1)

• Remarks on the Moser-Trudinger inequality

Cited by in corpus (7)

• Moser-Trudinger inequalities: from local to global
• The Leray--Adams inequality
• The sharp Adams type inequalities in the hyperbolic spaces under the Lorentz-Sobolev norms
• New geometric aspects of Moser-Trudinger inequalities on Riemannian manifolds: the non-compact case
• Estimate for concentration level of the Adams functional and extremals for Adams-type inequality
• Adams Inequality on Pinched Hadamard Manifolds
• Improved Moser-Trudinger type inequalities in the hyperbolic space ${\mathbb{H}}^n$