A Gauss curvature flow to the Orlicz-Minkowski problem for torsional rigidity

DOI10.1007/s12220-021-00767-1zbMath1484.35250OpenAlexW4205129918WikidataQ114221028 ScholiaQ114221028MaRDI QIDQ2074692

Jinrong Hu, Jiaqian Liu, Di Ma

Publication date: 10 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00767-1

zbMATH Keywords

existenceMonge-Ampère equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)

Related Items (2)

A flow to the Orlicz-Minkowski-type problem of \(\mathfrak{p}\)-capacity ⋮ On the existence of solutions to the Orlicz-Minkowski problem for torsional rigidity

Cites Work

• Unnamed Item
• Unnamed Item
• Orlicz-John ellipsoids
• On the Orlicz Minkowski problem for polytopes
• Brunn-Minkowski inequalities for variational functionals and related problems
• The Orlicz-Minkowski problem for torsional rigidity
• The Hadamard variational formula and the Minkowski problem for \(p\)-capacity
• Orlicz centroid bodies
• The even Orlicz Minkowski problem
• Orlicz projection bodies
• Estimates of harmonic measure
• A Minkowski problem for electrostatic capacity
• Elliptic partial differential equations of second order
• A logarithmic Gauss curvature flow and the Minkowski problem.
• The \(p\)-capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems
• On the \(L_p\) torsional Minkowski problem for \(0 < p < 1\)
• The \(L_p\) dual Minkowski problem and related parabolic flows
• Orlicz-Minkowski flows
• Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems
• Asymptotic convergence for a class of fully nonlinear curvature flows
• The \(L_p\) Minkowski problem for torsion
• Smooth solutions to the \(L_p\) dual Minkowski problem
• The Orlicz Brunn-Minkowski inequality
• The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities
• The Minkowski problem for the torsional rigidity
• A flow method for the dual Orlicz–Minkowski problem
• Shapes of worn stones
• Convex Bodies The Brunn-MinkowskiTheory

This page was built for publication: A Gauss curvature flow to the Orlicz-Minkowski problem for torsional rigidity