A class of Gauss curvature flows and its applications to an even dual Orlicz–Minkowski type problem. (May 2022)

• Record Type: Journal Article
• Authors: Wu, Di; Tu, Qiang; Xie, Siyuan
• Is Part Of: Nonlinear analysis. Volume 218(2022)
• Publication Date: 2022-05
• Subjects: primary 35J96 52A20 -- secondary 53C45; Anisotropic Gauss curvature flow -- Monge–Ampère type equation -- Dual Orlicz–Minkowski type problem -- Existence; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.112798
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we consider a class of anisotropic Gauss curvature flows and obtain the long-time existence. As an application, an existence result of the even solution has been obtained for a class of Monge–Ampère type equations, which associated a dual Orlicz–Minkowski type problem for the even measure.