Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature

Qiaohua Yang; Dan Su; Yinying Kong

doi:10.1007/s10231-015-0472-4

Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature

Analysis of PDEs 2024-07-03 v2

Authors: Qiaohua Yang , Dan Su , Yinying Kong

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Abstract

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

Keywords

Moser-Trudinger inequality sharp constant Riemannian manifold negative curvature complete simply connected

Cite

@article{arxiv.1503.00274,
  title  = {Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature},
  author = {Qiaohua Yang and Dan Su and Yinying Kong},
  journal= {arXiv preprint arXiv:1503.00274},
  year   = {2024}
}

Comments

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

Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature

Abstract

Keywords

Cite

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