Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds

DOI10.1007/s00526-022-02284-7OpenAlexW3193083483WikidataQ114017821 ScholiaQ114017821MaRDI QIDQ2159512

Francesco Nobili, Ivan Yuri Violo

Publication date: 1 August 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02135

Mathematics Subject Classification ID

Rigidity results (53C24) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (4)

Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds ⋮ Extremal of log-Sobolev functionals and Li-Yau estimate on \(\mathrm{RCD}^* (K,N)\) spaces ⋮ Sobolev's inequality under a curvature-dimension condition ⋮ Sharp log-Sobolev inequalities in \(\mathsf{CD}(0, N)\) spaces with applications

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