On the discrete Orlicz electrostatic \(q\)-capacitary Minkowski problem

DOI10.1155/2020/3067985zbMath1452.52004OpenAlexW3092299669MaRDI QIDQ2211417

Yibin Feng, Yanping Zhou

Publication date: 11 November 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/3067985

zbMATH Keywords

polytopesMinkowski problem

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Electro- and magnetostatics (78A30)

Cites Work

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• Dual Orlicz-Brunn-Minkowski theory
• Orlicz-John ellipsoids
• On the Orlicz Minkowski problem for polytopes
• The log-Brunn-Minkowski inequality
• \(\mathrm{SL}(n)\) invariant valuations on polytopes
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The Hadamard variational formula and the Minkowski problem for \(p\)-capacity
• Orlicz centroid bodies
• General affine surface areas
• The even Orlicz Minkowski problem
• General \(L_{p}\) affine isoperimetric inequalities
• Orlicz projection bodies
• A Minkowski problem for electrostatic capacity
• The \(L^p\)-Busemann-Petty centroid inequality
• \(L_ p\) affine isoperimetric inequalities.
• The \(L_{p}\)-Minkowski problem for \(-n < p < 1\)
• General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I
• On the \(L_p\) dual Minkowski problem
• The \(p\)-capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems
• Existence of solutions to the Orlicz-Minkowski problem
• The dual Orlicz-Minkowski problem
• The \(L_{p}\) dual Minkowski problem for \(p\) 1 and \(q\) 0
• \(L_{p}\) dual curvature measures
• Existence and uniqueness of solutions to Orlicz Minkowski problems involving \(0 < p < 1\)
• On the case of equality in the Brunn-Minkowski inequality for capacity
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• On the regularity of the \(L_p\) Minkowski problem
• Rotationally symmetric solutions to the \(L_p\)-Minkowski problem
• On the \(L_{p}\) Monge-Ampère equation
• The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity
• The logarithmic Minkowski problem for polytopes
• General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II
• On the discrete Orlicz Minkowski problem. II
• The \(L _p\) capacitary Minkowski problem for polytopes
• The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\)
• The \(L_p\) Minkowski problem for polytopes for \(0 < p < 1\)
• The dual Orlicz-Brunn-Minkowski theory
• Nonuniqueness of solutions to the \(L_p\)-Minkowski problem
• The planar \(L_{p}\)-Minkowski problem for \(0<p<1\)
• \(L_p\) Minkowski problem with not necessarily positive data
• Asymmetric affine \(L_p\) Sobolev inequalities
• New \(L_p\) affine isoperimetric inequalities
• The Orlicz Brunn-Minkowski inequality
• On the \(L_{p}\) Minkowski problem for polytopes
• Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
• The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
• The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities
• The centro-affine Minkowski problem for polytopes
• The direct method in the calculus of variations for convex bodies
• Orlicz-Legendre ellipsoids
• On the Discrete Logarithmic Minkowski Problem
• Continuity of the solution to the $L_{p}$ Minkowski problem
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• On the regularity of the solution of then-dimensional Minkowski problem
• On the discrete Orlicz Minkowski problem
• $L_p$ John Ellipsoids
• On the $L_{p}$-Minkowski problem
• On the reverse L ^p –busemann–petty centroid inequality
• The logarithmic Minkowski problem
• The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity
• On the general dual Orlicz-Minkowski problem
• The Lp Minkowski problem for polytopes for p<0
• Convex Bodies The Brunn-MinkowskiTheory
• On Differential Geometry in the Large, I (Minkowski's Problem)
• The Weyl and Minkowski problems in differential geometry in the large