Arsove–Huber Theorem in Higher Dimensions

DOI10.1007/978-3-030-34953-0_12zbMath1456.31005OpenAlexW3015997977MaRDI QIDQ3300605

Shiguang Ma, Jie Qing

Publication date: 29 July 2020

Published in: Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34953-0_12

zbMATH Keywords

nonlinear potential theorylocally conformally flat manifoldshypersurfaces in hyperbolic space\(n\)-superharmonic functionsArsove-Huber theorem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Differential geometry of submanifolds of Möbius space (53A31)

Cites Work

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• The asymptotic boundary of a surface imbedded in \(H^ 3\) with nonnegative curvature
• On subharmonic functions and differential geometry in the large
• Singular sets of a class of locally conformally flat manifolds
• Schouten tensor and some topological properties
• Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
• Singular solutions of the \(p\)-Laplace equation
• Conformally flat manifolds, Kleinian groups and scalar curvature
• Quasilinear elliptic problems with measures as data
• The Wiener test and potential estimates for quasilinear elliptic equations
• Nonlinear elliptic systems with measure-valued right hand side
• Compactification of a class of conformally flat 4-manifold
• The Huber theorem for non-compact conformally flat manifolds
• A gap theorem for complete noncompact manifolds with nonnegative Ricci curvature
• On the growth of superharmonic functions near an isolated singularity. I
• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
• An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
• Quasilinear and Hessian equations of Lane-Emden type
• Local behavior of solutions of quasi-linear equations
• Isolated singularities of solutions of quasi-linear equations
• Slowly growing integral and subharmonic functions
• The type of a surface and its total curvature
• Entire functions with bounded minimum modulus; subharmonic functions analogues
• Über Wachstumseigenschaften gewisser Klassen von subharmonischen Funktionen
• Non-Negatively Curved Hypersurfaces of Hyperbolic Space and Subharmonic Functions
• On functions of bounded mean oscillation
• Isolated singularities of nonlinear elliptic inequalities II. Asymptotic behavior of solutions
• Volumes of Small Balls on Open Manifolds: Lower Bounds and Examples
• On The Dirichletproblem for Quasilinear Equations
• The hyperbolic Gauss map and quasiconformal reflections.
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Isolated singularities of nonlinear elliptic inequalities
• Local and Global Aspects of Quasilinear Degenerate Elliptic Equations
• Conformally flat manifolds with nonnegative Ricci curvature
• Functions of Potential Type
• Sulla geometria riemanniana globale della superficie

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