Extremal of log-Sobolev functionals and Li-Yau estimate on \(\mathrm{RCD}^* (K,N)\) spaces

DOI10.1007/s11118-023-10075-8arXiv2207.01800MaRDI QIDQ6152012

Liming Yin, Samuel Drapeau

Publication date: 11 March 2024

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

Full work available at URL: https://arxiv.org/abs/2207.01800

zbMATH Keywords

extremal functionmetric measure spacecurvature-dimension conditionLi-Yau inequalitylog-Sobolev functional

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities involving derivatives and differential and integral operators (26D10)

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