Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature (Q6084931)

scientific article; zbMATH DE number 7773353

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English	Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature	scientific article; zbMATH DE number 7773353

Statements

instance of

scholarly article

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title

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

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

2 December 2023

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full work available at URL

https://arxiv.org/abs/2305.01453

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zbMATH Keywords

Penrose inequality

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positive mass theorem

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isoperimetric mass

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nonlinear potential theory

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MaRDI profile type

MaRDI publication profile

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cites work

Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature

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Minkowski inequalities via nonlinear potential theory

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Monotonicity formulas in potential theory

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Coordinate Invariance and Energy Expressions in General Relativity

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The mass of an asymptotically flat manifold

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The asymptotic behaviour of $p$-capacitary potentials in asymptotically conical manifolds

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On the capacity of surfaces in manifolds with nonnegative scalar curvature

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Proof of the Riemannian Penrose inequality using the positive mass theorem.

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Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds

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Q4206070

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C1 + α local regularity of weak solutions of degenerate elliptic equations

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A new proof of local $C^{1,\alpha}$ regularity for solutions of certain degenerate elliptic P.D.E

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Large-sphere and small-sphere limits of the Brown-York mass

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

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Geometric aspects of $p$-capacitary potentials

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A-superharmonic functions and supersolutions of degenerate elliptic equations

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Q5294569

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Q3996137

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Volume growth, Green's functions, and parabolicity of ends

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Q4810291

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The inverse mean curvature flow and the Riemannian Penrose inequality

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Lower semicontinuity of mass under $C^0$ convergence and Huisken's isoperimetric mass

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Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula

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Linear and quasilinear elliptic equations

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Q3216972

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Boundary regularity for solutions of degenerate elliptic equations

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On singular sets of local solutions to $p$ -Laplace equations

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

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The inverse mean curvature flow and $p$-harmonic functions

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The inverse mean curvature flow as an obstacle problem

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Comparison Theorems for 3D Manifolds With Scalar Curvature Bound

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Mean value theorems on manifolds

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Local behavior of solutions of quasi-linear equations

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On The Dirichletproblem for Quasilinear Equations

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On harnack type inequalities and their application to quasilinear elliptic equations

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Q5597752

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Local gradient estimate for $p$-harmonic functions on Riemannian manifolds

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The anisotropic $p$-capacity and the anisotropic Minkowski inequality

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

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Q4370148

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Identifiers

arXiv ID

2305.01453

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Mathematics Subject Classification ID

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10.3842/SIGMA.2023.091

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Sitelinks

Mathematics(1 entry)

mardi Publication:6084931