The \(p\)-harmonic capacity of an asymptotically flat 3-manifold with non-negative scalar curvature

DOI10.1007/s00023-016-0475-8zbMath1345.83014OpenAlexW2317249904MaRDI QIDQ740068

Jie Xiao

Publication date: 12 August 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-016-0475-8

zbMATH Keywords

isoperimetric inequality\(p\)-harmonic capacityADM/total massasymptotically flat 3-manifoldPenrose type inequality

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (6)

Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature ⋮ New monotonicity for \(p\)-capacitary functions in 3-manifolds with nonnegative scalar curvature ⋮ Wulff shape characterizations in overdetermined anisotropic elliptic problems ⋮ Flux \& radii within the subconformal capacity ⋮ Sharp bounds for the anisotropic \(p\)-capacity of Euclidean compact sets ⋮ The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp convex Lorentz-Sobolev inequalities
• On an isoperimetric inequality for capacity conjectured by Pólya and Szegő
• On the capacity of surfaces in manifolds with nonnegative scalar curvature
• Higher regularity of the inverse mean curvature flow
• Capacities, surface area, and radial sums
• On the near-equality case of the positive mass theorem
• On the Riemannian Penrose inequality in dimensions less than eight
• Mean curvature flow and isoperimetric inequalities. Edited by Vicente Miquel and Joan Porti
• Capacity methods in the theory of partial differential equations
• On the proof of the positive mass conjecture in general relativity
• The inverse mean curvature flow and the Riemannian Penrose inequality
• The Brunn-Minkowski inequality for \(p\)-capacity of convex bodies
• A new proof of the positive energy theorem.
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• Superharmonic functions in \(\mathbb{R}^n\) and the Penrose inequality in general relativity
• A volumetric Penrose inequality for conformally flat manifolds
• On a long-standing conjecture by Pólya-Szegö and related topics
• Coordinate Invariance and Energy Expressions in General Relativity
• The mass of an asymptotically flat manifold
• Positivity of mass for certain spacetimes with horizons
• Estimating Electrostatic Capacity
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: The \(p\)-harmonic capacity of an asymptotically flat 3-manifold with non-negative scalar curvature