Variations of a class of Monge–Ampère-typefunctionals and their applications
Haodi Chen, Shibing Chen, Qi-Rui Li
Abstract
We study a class of Monge–Ampere-type functionals arising from the Lp dual Minkowski problem in convex geometry. As an application, we obtain some existence and nonuniqueness results for the problem.
Topics & Concepts
MathematicsClass (philosophy)Type (biology)AmperePure mathematicsMathematical analysisCalculus (dental)Current (fluid)EcologyMedicineComputer scienceElectrical engineeringEngineeringBiologyDentistryArtificial intelligenceGeometric Analysis and Curvature FlowsGeometry and complex manifoldsPoint processes and geometric inequalities