A semilinear partial differential equation induced by Hermitian Yang-Mills metrics

Yuxuan Li; Wubin Zhou

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arXiv · 2205.00230

A semilinear partial differential equation induced by Hermitian Yang-Mills metrics

Yuxuan Li·Wubin Zhou

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Abstract

This paper will discuss a class of semilinear partial differential equations induced by studying the limiting behaviour of Hermitian Yang-Mills metrics. We will study the radial symmetry of the $C^{2}$ global solution of this equation in $\mathbb{R}^{2}$ and the existence of $C^{2,\alpha}$ solution of the Dirichlet boundary value problem in any bounded domain.

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Yuxuan Li, Wubin Zhou. 2022-04-30. A semilinear partial differential equation induced by Hermitian Yang-Mills metrics. https://arxiv.org/abs/2205.00230

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