Comparing monotonicity formulas for electrostatic potentials and static metrics
type: Item
instance of: scholarly article
title: Comparing monotonicity formulas for electrostatic potentials and static metrics
zbMATH Open document ID: 1367.35013
DOI: 10.4171/RLM/749
author: Virginia Agostiniani
author: Lorenzo Mazzieri
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2017-04-26T00:00:00Z
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 35N25
zbMATH DE Number: 6708143
zbMATH Keywords: electrostatic capacity
zbMATH Keywords: Willmore inequality
zbMATH Keywords: Riemannian Penrose inequality
MaRDI profile type: Publication
cites work: On the geometry of the level sets of bounded static potentials
cites work: Riemannian aspects of potential theory
cites work: Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
cites work: On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof
cites work: On the Total Curvature of Immersed Manifolds, I: An Inequality of Fenchel-Borsuk-Willmore
cites work: Stationary black holes: uniqueness and beyond
cites work: Nodal sets for solutions of elliptic equations
cites work: Black hole uniqueness theorems in higher dimensional spacetimes
cites work: The inverse mean curvature flow and the Riemannian Penrose inequality
cites work: Q5531949
cites work: A simple proof of the generalization of Israel's theorem
cites work: Q3629694
Recommended article: Monotonicity formulas in potential theory
Recommended article: Q4297385
Recommended article: Isoperimetric inequalities for an electrostatic problem
Recommended article: Monotonicity formulas for static metrics with non-zero cosmological constant
Recommended article: Monotonicity formulae and F-stress energy
Recommended article: On the boundary conditions for the vector potential formulation in electrostatics
Recommended article: Q4342837
Recommended article: An electrostatics approach to the determination of extremal measures
Recommended article: On energy formulations of electrostatics for continuum media
Recommended article: Q4668886
description: scientific article; zbMATH DE number 6708143