The planar \(L_{p}\)-Minkowski problem for \(0

DOI10.1016/j.aam.2016.12.007zbMath1376.52013arXiv1610.07067OpenAlexW2544339321MaRDI QIDQ2356770

Hai T. Trinh, Károly jun. Böröczky

Publication date: 6 June 2017

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07067

zbMATH Keywords

Monge-Ampère equation\(L_p\)-surface area measureplanar \(L_p\)-Minkowski problem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items

Existence of solution for Lp-Minkowski problem of 0 < p < 1 with measures in ℝn, The \(L_{p}\)-Minkowski problem for \(-n < p < 1\), The \(L_p\) dual Minkowski problem about \(0 < p < 1\) and \(q > 0\), The discrete Orlicz-Minkowski problem for \(p\)-capacity, The discrete logarithmic Minkowski problem for \(q\)-capacity, A flow method to the Orlicz-Aleksandrov problem, A flow approach to the planar Lp$L_p$ Minkowski problem, ITERATIONS OF CURVATURE IMAGES, Existence and bifurcation of periodic solutions to the \(L_p\)-Minkowski problem with indefinite weight, Existence of solutions to the Orlicz-Minkowski problem, On the discrete Orlicz electrostatic \(q\)-capacitary Minkowski problem, Unnamed Item, Orlicz-Minkowski flows, A flow method for the dual Orlicz–Minkowski problem, Prescribing capacitary curvature measures on planar convex domains, On the log-Minkowski inequality for simplices and parallelepipeds, On the \(L_p\) torsional Minkowski problem for \(0 < p < 1\), Existence and uniqueness of solutions to Orlicz Minkowski problems involving \(0 < p < 1\), Smoothness in the \(L_p\) Minkowski problem for \(p<1\), The Orlicz Minkowski problem involving \(0 < p < 1 \): from one constant to an infinite interval, The \(L_p\) electrostatic \(q\)-capacitary Minkowski problem for general measures, On the planar $L_p$ Minkowski problem with sign-changing data, On $L_p$-Brunn-Minkowski type and $L_p$-isoperimetric type inequalities for measures, The \(L _p\) capacitary Minkowski problem for polytopes, The dual Minkowski problem for symmetric convex bodies, The planar Orlicz Minkowski problem for \(p=0\) without even assumptions, The L_p Minkowski problem for the electrostatic p-capacity for $p\ge n$

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