Continuity of the solution to the $L_{p}$ Minkowski problem

DOI10.1090/proc/13248zbMath1354.52011OpenAlexW2342532398MaRDI QIDQ2832836

Guangxian Zhu

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13248

zbMATH Keywords

\(L_p\) Minkowski problem\(L_p\) surface area measure

Mathematics Subject Classification ID

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

Related Items

The \(L_{p}\)-Minkowski problem for \(-n < p < 1\) ⋮ The \(L_p\) dual Minkowski problem about \(0 < p < 1\) and \(q > 0\) ⋮ \((p,q)\)-mixed geominimal surface area and \((p,q)\)-mixed affine surface area ⋮ On the uniqueness and continuity of the dual area measure ⋮ Continuity of the solution to the \(L_p\) Minkowski problem in Gaussian probability space ⋮ The affine convex Lorentz-Sobolev inequalities ⋮ A generalized rotationally symmetric case of the centroaffine Minkowski problem ⋮ On the discrete Orlicz electrostatic \(q\)-capacitary Minkowski problem ⋮ Continuity of the solution to the even Lp Minkowski problem for 0 < p < 1 in the plane ⋮ Continuity of the solution to the dual Minkowski problem for negative indices ⋮ On the discrete Orlicz Minkowski problem ⋮ On the discrete Orlicz Minkowski problem. II ⋮ The \(L_p\) electrostatic \(q\)-capacitary Minkowski problem for general measures ⋮ The \(L_p\)-Gaussian Minkowski problem ⋮ Continuity of the solution to the even logarithmic Minkowski problem in the plane ⋮ The sharp convex mixed Lorentz-Sobolev inequality ⋮ The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\)

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