摘要
The aim of this note is to present the first qualitative global bifurcation diagram of the equation −∆u = µ|x|2αeu. 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 |
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页(从-至) | 425-442 |
页数 | 18 |
期刊 | Differential and Integral Equations |
卷 | 37 |
期 | 7-8 |
DOI | |
出版状态 | 已出版 - 7月 2024 |