Survey on the asymptotic Dirichlet problem for the minimal surface equation (Q2065855)

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English	Survey on the asymptotic Dirichlet problem for the minimal surface equation	scientific article

Statements

scholarly article

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Survey on the asymptotic Dirichlet problem for the minimal surface equation (English)

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publication date

13 January 2022

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full work available at URL

https://arxiv.org/abs/1909.08437

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zbMATH Keywords

minimal surfaces

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asymptotic Dirichlet problem

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Hadamard manifolds

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MaRDI profile type

MaRDI publication profile

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Convexity at infinity and Brownian motion on manifolds with unbounded negative curvature

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The Dirichlet problem at infinity for manifolds of negative curvature

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Positive harmonic functions on complete manifolds of negative curvature

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Manifolds of Negative Curvature

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On the asymptotic Dirichlet problem for a class of mean curvature type partial differential equations

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A Note on the Dirichlet Problem at Infinity for Manifolds of Negative Curvature

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The nonsolvability of the Dirichlet problem on negatively curved manifolds

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Solvability of minimal graph equation under pointwise pinching condition for sectional curvatures

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Existence and non-existence of minimal graphic and <i>p</i>-harmonic functions

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Dirichlet problem for \(f\)-minimal graphs

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Asymptotic Dirichlet problems in warped products

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On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold

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Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems

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Asymptotic Dirichlet problem for \(\mathcal{A}\)-harmonic and minimal graph equations in Cartan-Hadamard manifolds

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The Dirichlet problem at infinity for nonpositively curved manifolds

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Asymptotic Dirichlet Problems for Harmonic Functions on Riemannian Manifolds

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Construction of harmonic diffeomorphisms and minimal graphs

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An interior gradient estimate for the mean curvature equation of Killing graphs and applications

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Killing graphs with prescribed mean curvature

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An extension of a theorem of Serrin to graphs in warped products

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The Dirichlet problem for the minimal hypersurface equation in \(M \times \mathbb R\) with prescribed asymptotic boundary

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Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation

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Visibility manifolds

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Minimal surfaces and harmonic diffeomorphisms from the complex plane onto certain Hadamard surfaces

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Elliptic partial differential equations of second order

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Function theory on manifolds which possess a pole

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Gap theorems for noncompact Riemannian manifolds

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Existence and non-existence for a mean curvature equation in hyperbolic space

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Sobolev and isoperimetric inequalities for riemannian submanifolds

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Asymptotic Dirichlet problem for the $p$-Laplacian on Cartan-Hadamard manifolds

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Nonsolvability of the asymptotic Dirichlet problem for some quasilinear elliptic PDEs on Hadamard manifolds

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Asymptotic Dirichlet problem on negatively curved spaces

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The Dirichlet problem for the minimal surface equation in higher dimensions.

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Brownian motion and harmonic functions on rotationally symmetric manifolds

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The theory of minimal surfaces in \(M\times \mathbb R\)

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On Deciding Whether a Surface is Parabolic or Hyperbolic

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On Harnack's theorem for elliptic differential equations

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Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).

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Some remarks on the prescribed mean curvature equation on complete manifolds.

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Complete minimal graphs with prescribed asymptotic boundary on rotationally symmetric Hadamard surfaces

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Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems

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The half-space property and entire positive minimal graphs in \(M \times \mathbb{R}\).

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An asymptotic theorem for minimal surfaces and existence results for minimal graphs in \({\mathbb H^2 \times \mathbb R}\)

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Local behavior of solutions of quasi-linear equations

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The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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A note on minimal graphs over certain unbounded domains of Hadamard manifolds

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Dirichlet problem at infinity for \(\mathcal A\) -harmonic functions

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-68541-6_7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2065855

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