Sharp Morrey-Sobolev inequalities on complete Riemannian manifolds

DOI10.1007/s11118-014-9427-4zbMath1321.58034arXiv1408.1308OpenAlexW1999359670WikidataQ115381412 ScholiaQ115381412MaRDI QIDQ2512910

Alexandru Kristály

Publication date: 2 February 2015

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1308

zbMATH Keywords

Riemannian manifoldrigiditycurvaturesharp constantMorrey-Sobolev inequality

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations ⋮ Some rigidity results for Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds ⋮ Sharp Morrey–Sobolev inequalities and eigenvalue problems on Riemannian–Finsler manifolds with nonnegative Ricci curvature ⋮ New geometric aspects of Moser-Trudinger inequalities on Riemannian manifolds: the non-compact case ⋮ Nonexistence of Radial Optimal Functions for the Sobolev Inequality on Cartan-Hadamard Manifolds ⋮ Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

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