Uniform bound for the volume of the solutions to Liouville type equations on the annulus

2021/12/14 by Samy Skander Bahoura, Bahoura, Samy Skander
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #General Mathematics (math.GM) #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2112.11200

openalex publication_date 2021/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider variational problems with regular Hölderian weight or with weight and boundary singularity and, Dirichlet condition. We prove the boundedness of the volume of the solutions to these equations on the annulus.

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