循环希格斯束，次调和函数，和狄利克雷问题

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2025-01-30 DOI:10.1007/s10455-025-09985-0

Natsuo Miyatake

引用次数: 0

摘要

我们证明了循环希格斯束对角调和度量的希钦方程的推广的Dirichlet问题解的存在唯一性。广义方程是用次调和函数表示的。在这种推广下，系数表现出比原方程更差的规律性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cyclic Higgs bundles, subharmonic functions, and the Dirichlet problem

We demonstrate the existence and uniqueness of the solution to the Dirichlet problem for a generalization of Hitchin’s equation for diagonal harmonic metrics on cyclic Higgs bundles. The generalized equations are formulated using subharmonic functions. In this generalization, the coefficient exhibits worse regularity than that in the original equation.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.