On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds

zbMath1506.53100arXiv1905.00216MaRDI QIDQ5863941

Alberto G. Setti, Luciano Mari, Marco Rigoli

Publication date: 3 June 2022

Full work available at URL: https://arxiv.org/abs/1905.00216

zbMATH Keywords

propernessgradient estimatesisolated singularitiesGromov-Hausdorff convergenceGreen kernelvolume doubling\(p\)-capacityisoperimetric properties

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Weak solutions to PDEs (35D30) Flows related to mean curvature (53E10)

Related Items (8)

Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds ⋮ Recent rigidity results for graphs with prescribed mean curvature ⋮ Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature ⋮ A quantitative second order estimate for (weighted) \(p\)-harmonic functions in manifolds under curvature-dimension condition ⋮ Corrigendum to "On the 1/ H -flow by p -Laplace approximation: new estimates via fake distances under Ricci lower bounds [ Amer. J. Math . 144 (2022), no. 3, 779–849"] ⋮ Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces ⋮ The asymptotic behaviour of \(p\)-capacitary potentials in asymptotically conical manifolds ⋮ A Green's function proof of the positive mass theorem

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