Variations of a class of Monge–Ampère-type functionals and their applications

By Haodi Chen, Shibing Chen, Qi-Rui Li. Analysis & PDE, 2021

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e40eb896318b32d055bb21d4d5d392062ff212be