The asymptotic behaviour of \(p\)-capacitary potentials in asymptotically conical manifolds

DOI10.1007/s00208-022-02515-4arXiv2207.08607OpenAlexW4310276354MaRDI QIDQ6184756

Luca Benatti, Lorenzo Mazzieri, Mattia Fogagnolo

Publication date: 29 January 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08607

Mathematics Subject Classification ID

Potential theory on Riemannian manifolds and other spaces (31C12) Flows related to mean curvature (53E10)

Related Items (2)

Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature ⋮ A new proof of the Riemannian Penrose inequality

Cites Work

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• Local gradient estimate for \(p\)-harmonic functions on Riemannian manifolds
• The connectivity at infinity of a manifold and \(L^{q, p}\)-Sobolev inequalities
• Isoperimetric structure of asymptotically conical manifolds
• On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
• Function theory on manifolds which possess a pole
• The inverse mean curvature flow and \(p\)-harmonic functions
• The Hadamard variational formula and the Minkowski problem for \(p\)-capacity
• Flow of nonconvex hypersurfaces into spheres
• Higher regularity of the inverse mean curvature flow
• Singular solutions of the \(p\)-Laplace equation
• Hardy-Littlewood theory for semigroups
• A-superharmonic functions and supersolutions of degenerate elliptic equations
• The construction of ALE spaces as hyper-Kähler quotients
• A Torelli-type theorem for gravitational instantons
• Harmonic functions and the structure of complete manifolds
• Self-dual solutions to Euclidean gravity
• Sharp bounds for the Green's function and the heat kernel
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Inverse mean curvature flows in warped product manifolds
• Heat kernels and Green's functions on limit spaces
• Volume growth, Green's functions, and parabolicity of ends
• Minkowski inequalities via nonlinear potential theory
• Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds
• A geometric capacitary inequality for sub-static manifolds with harmonic potentials
• A positive mass theorem for manifolds with boundary
• Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature
• Capacity, quasi-local mass, and singular fill-ins
• A mass for ALF manifolds
• Geometric aspects of \(p\)-capacitary potentials
• Normal and integral currents
• On the asymptotic geometry of gravitational instantons
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Asymptotic estimates in Weighted Hölder spaces for a class of elliptic scale-covariant second order operators
• Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
• The inverse mean curvature flow as an obstacle problem
• Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
• On The Dirichletproblem for Quasilinear Equations
• Boundary regularity for solutions of degenerate elliptic equations
• Large scale behavior of kernels of Schrodinger operators
• Non-collapsed spaces with Ricci curvature bounded from below
• Rigidity for Multi-Taub-NUT metrics
• On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds
• Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature

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