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Noncompact L_p-Minkowski problems (Q5153368)

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scientific article; zbMATH DE number 7403304

Language	Label	Description	Also known as
English	Noncompact L_p-Minkowski problems	scientific article; zbMATH DE number 7403304

Statements

scholarly article

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Noncompact L_p-Minkowski problems (English)

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Indiana University Mathematics Journal

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publication date

29 September 2021

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full work available at URL

https://arxiv.org/abs/1812.03309

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zbMATH Keywords

\(L_p\)-Minkowski problem

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Monge-Ampère equation

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MaRDI profile type

MaRDI publication profile

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The boundary value problems for nonlinear elliptic equations and the maximum principle for Euler-Lagrange equations

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The logarithmic Minkowski problem

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Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation

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The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation

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Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens

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On the regularity of the solution of then-dimensional Minkowski problem

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Minkowski problems for complete noncompact convex hypersurfaces

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The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry

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The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature

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On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\)

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On the regularity of the \(L_p\) Minkowski problem

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Nonuniqueness of solutions to the \(L_p\)-Minkowski problem

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Sur les équations de Monge-Ampère. (About the Monge-Ampère equations)

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A generalized rotationally symmetric case of the centroaffine Minkowski problem

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Rotationally symmetric solutions to the \(L_p\)-Minkowski problem

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The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem

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The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas

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On the regularity of solutions to a generalization of the Minkowski problem

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On the $L_{p}$-Minkowski problem

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The Weyl and Minkowski problems in differential geometry in the large

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Convex Bodies The Brunn-MinkowskiTheory

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An expansion of convex hypersurfaces

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Complete noncompact self-similar solutions of Gauss curvature flows. I: Positive powers

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Complete noncompact self-similar solutions of Gauss curvature flows. II. Negative powers

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The spherical images of convex hypersurfaces

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The logarithmic Minkowski problem for polytopes

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The \(L_p\) Minkowski problem for polytopes for \(0 < p < 1\)

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The centro-affine Minkowski problem for polytopes

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Identifiers

zbMATH Open document ID

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10.1512/iumj.2021.70.8432

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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:5153368

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