Existence and uniqueness of solutions to Orlicz Minkowski problems involving \(0 < p < 1\)

DOI10.1016/j.aam.2018.07.008zbMath1406.52005OpenAlexW2887873492MaRDI QIDQ1795493

Sun Yijing

Publication date: 16 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.aam.2018.07.008

zbMATH Keywords

variational methodOrlicz Minkowski problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

On the discrete Orlicz electrostatic \(q\)-capacitary Minkowski problem ⋮ 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 ⋮ The planar Orlicz Minkowski problem for \(p=0\) without even assumptions ⋮ Inverse Gauss curvature flows and Orlicz Minkowski problem

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