A $L_p$ Brunn-Minkowski theory for logarithmic capacity (Q2223714)

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English	A $L_p$ Brunn-Minkowski theory for logarithmic capacity	scientific article

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title

A $L_p$ Brunn-Minkowski theory for logarithmic capacity (English)

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1 February 2021

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zbMATH Keywords

$L_p$ mixed logarithmic capacity

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$L_p$ logarithmic capacity measure

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Hadamard variational formula

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Minkowski inequality

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Minkowski problem

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11118-020-09826-8

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The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity

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Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $\mathbb{R}^n$

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Q4315908

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Smoothness in the $L_p$ Minkowski problem for $p<1$

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The $L_{p}$-Minkowski problem for $-n < p < 1$

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The Orlicz version of the $L_p$ Minkowski problem for $- n < p < 0$

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Q3764803

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Capacitary inequalities of the Brunn-Minkowski type

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Hitting probabilities of killed brownian motion : a study on geometric regularity

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The $L_{p}$ dual Minkowski problem for $p$ 1 and $q$ 0

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The logarithmic Minkowski problem

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Q5593766

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Interior a priori estimates for solutions of fully nonlinear equations

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A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity

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

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Some regularity properties of solutions of Monge Ampère equation

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On the planar dual Minkowski problem

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On the case of equality in the Brunn-Minkowski inequality for capacity

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The logarithmic Minkowski problem for non-symmetric measures

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Smooth solutions to the $L_p$ dual Minkowski problem

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

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The $L_p$-Minkowski problem and the Minkowski problem in centroaffine geometry

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Brunn-Minkowski inequalities for variational functionals and related problems

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The Brunn-Minkowski inequality for the $n$-dimensional logarithmic capacity of convex bodies

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The Hadamard variational formula and the Minkowski problem for $p$-capacity

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The Minkowski problem for the torsional rigidity

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Q5178046

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Q5769856

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$p$-Means of Convex Bodies.

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Elliptic partial differential equations of second order

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Convex hypersurfaces of prescribed curvatures

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The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation

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$L^p$ Christoffel-Minkowski problem: the case $1< p<k+1$

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The Monge-Ampère equation

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On the $L_{p}$ Minkowski problem for polytopes

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The $p$-capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems

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On the Christoffel-Minkowski problem of Firey's $p$-sum

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Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems

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The $L_p$-Aleksandrov problem for $L_p$-integral 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 $L_p$ dual Minkowski problem

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Prescribing harmonic measure on convex domains

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A Minkowski problem for electrostatic capacity

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The direct method in the calculus of variations for convex bodies

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Nonuniqueness of solutions to the $L_p$-Minkowski problem

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Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains

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

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

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$L_{p}$ dual curvature measures

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The Weyl and Minkowski problems in differential geometry in the large

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Q4169389

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Convex Bodies The Brunn-MinkowskiTheory

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The discrete planar $L_0$-Minkowski problem

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Prescribing capacitary curvature measures on planar convex domains

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The $L _p$ capacitary Minkowski problem for polytopes

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The dual Minkowski problem for negative indices

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The logarithmic Minkowski problem for polytopes

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The $L_p$ Minkowski problem for the electrostatic $\mathfrak{p}$-capacity

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Identifiers

zbMATH Open document ID

1457.31008

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DOI

10.1007/s11118-020-09826-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2223714

A \(L_p\) Brunn-Minkowski theory for logarithmic capacity (Q2223714)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)