تقرير
Asymptotic Analysis and Uniqueness of blowup solutions of non-quantized singular mean field equations
| العنوان: | Asymptotic Analysis and Uniqueness of blowup solutions of non-quantized singular mean field equations |
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| المؤلفون: | Bartolucci, Daniele, Yang, Wen, Zhang, Lei |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35J60, 53C21 |
| الوصف: | For singular mean field equations defined on a compact Riemann surface, we prove the uniqueness of bubbling solutions as far as blowup points are either regular points or non-quantized singular sources. In particular the uniqueness result covers the most general case extending or improving all previous works of Bartolucci-Jevnikar-Lee-Yang \cite{bart-4,bart-4-2} and Wu-Zhang \cite{wu-zhang-ccm}. For example, unlike previous results, we drop the assumption of singular sources being critical points of a suitably defined Kirchoff-Routh type functional. Our argument is based on refined estimates, robust and flexible enough to be applied to a wide range of problems requiring a delicate blowup analysis. In particular we come up with a major simplification of previous uniqueness proofs. Comment: 79 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.12057 |
| رقم الأكسشن: | edsarx.2401.12057 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |