Monotonicity formulas for harmonic functions in \(\mathrm{RCD}(0,N)\) spaces

DOI10.1007/s12220-022-01131-7OpenAlexW4315707096MaRDI QIDQ2682382

Nicola Gigli, Ivan Yuri Violo

Publication date: 31 January 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03331

zbMATH Keywords

harmonic functionsRCD spacesmonotonicity formulaalmost rigidity

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds ⋮ A quantitative second order estimate for (weighted) \(p\)-harmonic functions in manifolds under curvature-dimension condition ⋮ Obstacle problems on \(\mathrm{RCD}(K, N)\) metric measure spaces

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