ON THE GLOBAL BIFURCATION DIAGRAM OF THE EQUATION −∆u = µ|x|eu IN DIMENSION TWO

Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu*

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

摘要

The aim of this note is to present the first qualitative global bifurcation diagram of the equation −∆u = µ|x|eu. To this end, we introduce the notion of domains of first/second kind for singular mean field equations and base our approach on a suitable spectral analysis. In particular, we treat also non-radial solutions and non-symmetric domains and show that the shape of the branch of solutions still resembles the well-known one of the model regular radial case on the disk. Some work is devoted also to the asymptotic profile for µ → −∞.

源语言英语
页(从-至)425-442
页数18
期刊Differential and Integral Equations
37
7-8
DOI
出版状态已出版 - 7月 2024

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