Superharmonicity of curvature function for the convex level sets of harmonic functions (Q2048709)

scientific article; zbMATH DE number 7384294

Language	Label	Description	Also known as
English	Superharmonicity of curvature function for the convex level sets of harmonic functions	scientific article; zbMATH DE number 7384294

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instance of

scholarly article

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title

Superharmonicity of curvature function for the convex level sets of harmonic functions (English)

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Calculus of Variations and Partial Differential Equations

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publication date

23 August 2021

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zbMATH Keywords

harmonic functions

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convex level sets

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00526-021-02023-4

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cites work

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On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

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Convexity properties of solutions to some classical variational problems

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Principal curvature estimates for the convex level sets of semilinear elliptic equations

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On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: regularity and geometric results

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A Result Concerning Convex Level Surfaces of 3-Dimensional Harmonic Functions

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Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples

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Q3342990

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Q3937730

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Q3937731

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Conexity Of Level Sets For Solutions To elliptic Ring Problems

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Capacitary functions in convex rings

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Q3039768

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Gaussian curvature estimates for the convex level sets of p-harmonic functions

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The Convexity Estimates for the Solutions of Two Elliptic Equations

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The convexity of solution of a class Hessian equation in bounded convex domain in \(\mathbb R^3\)

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The concavity of the Gaussian curvature of the convex level sets of \(p\)-harmonic functions with respect to the height

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The convexity and the Gaussian curvature estimates for the level sets of harmonic functions on convex rings in space forms

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Q5606839

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Curvature of Level Curves of Harmonic Functions

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A maximum principle for sums of subharmonic functions, and the convexity of level sets

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Q3329808

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Gaussian Curvature Estimates for the Convex Level Sets of Solutions for Some Nonlinear Elliptic Partial Differential Equations

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Counterexample to the convexity of level sets of solutions to the mean curvature equation

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Convexity of level sets and a two-point function

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Geometric properties of level curves of harmonic functions and minimal graphs in 2-dimensional space forms

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On convexity of level sets of \(p\)-harmonic functions

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Identifiers

zbMATH Open document ID

1473.35181

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Mathematics Subject Classification ID

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10.1007/S00526-021-02023-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2048709