A note on Kazdan-Warner type equations on compact Riemannian manifolds

2023/04/20 by Weike Yu, Yu, Weike · 1 citation
Computer Science · Mathematics · #35J91 #53B20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2304.10412

openalex publication_date 2023/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we prove an existence result for generalized Kazdan-Warner equations on compact Riemannian manifolds by using the flow approach or the upper and lower solution method. In addition, we give a prior estimate for this type equations.

Cited by

• Prescribed Chern scalar curvatures on complete Hermitian manifolds

Related

• Generalized Kazdan-Warner equations on foliated manifolds
• The Kazdan-Warner equation on canonically compactifiable graphs
• Two solutions to Kazdan-Warner's problem on surfaces
• The Kazdan-Warner problem on compact Kähler surfaces
• Kazdan-Warner equation on infinite graphs