Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds

DOI10.1016/j.jfa.2022.109638zbMath1495.49025arXiv2012.09490OpenAlexW3111553414MaRDI QIDQ2165540

Lorenzo Mazzieri, Mattia Fogagnolo

Publication date: 20 August 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09490

zbMATH Keywords

inverse mean curvature flowfunctional inequalitiesnonlinear potential theoryvariational problems with obstacle

Mathematics Subject Classification ID

Variational inequalities (49J40) Optimization of shapes other than minimal surfaces (49Q10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potentials and capacities on other spaces (31C15) Flows related to mean curvature (53E10)

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