Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature

DOI10.3842/sigma.2023.091arXiv2305.01453OpenAlexW4388570698MaRDI QIDQ6084931

Luca Benatti, Lorenzo Mazzieri, Mattia Fogagnolo

Publication date: 2 December 2023

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.01453

zbMATH Keywords

positive mass theoremnonlinear potential theoryPenrose inequalityisoperimetric mass

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General relativity (83C99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potentials and capacities on other spaces (31C15) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (2)

New monotonicity for \(p\)-capacitary functions in 3-manifolds with nonnegative scalar curvature ⋮ The asymptotic behaviour of \(p\)-capacitary potentials in asymptotically conical manifolds

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