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- W2912011035 abstract "In the first part of the paper we investigate some geometric features of Moser–Trudinger inequalities on complete non-compact Riemannian manifolds. By exploring rearrangement arguments, isoperimetric estimates, and gluing local uniform estimates via Gromov's covering lemma, we provide a Coulhon, Saloff-Coste and Varopoulos type characterization concerning the validity of Moser–Trudinger inequalities on complete non-compact n -dimensional Riemannian manifolds ( n ≥ 2 ) with Ricci curvature bounded from below. Some sharp consequences are also presented both for non-negatively and non-positively curved Riemannian manifolds, respectively. In the second part, by combining variational arguments and a Lions type symmetrization-compactness principle, we guarantee the existence of a non-zero isometry-invariant solution for an elliptic problem involving the n -Laplace–Beltrami operator and a critical nonlinearity on n -dimensional homogeneous Hadamard manifolds. Our results complement in several directions those of Y. Yang [J. Funct. Anal., 2012]." @default.
- W2912011035 created "2019-02-21" @default.
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- W2912011035 date "2019-04-01" @default.
- W2912011035 modified "2023-10-12" @default.
- W2912011035 title "New geometric aspects of Moser–Trudinger inequalities on Riemannian manifolds: the non-compact case" @default.
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- W2912011035 doi "https://doi.org/10.1016/j.jfa.2019.01.008" @default.
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