تقرير
Phase separation, optimal partitions, and nodal solutions to the Yamabe equation on the sphere
| العنوان: | Phase separation, optimal partitions, and nodal solutions to the Yamabe equation on the sphere |
|---|---|
| المؤلفون: | Clapp, Mónica, Saldaña, Alberto, Szulkin, Andrzej |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 58J05, 58J32, 35J50, 35B06, 35B08, 35B33 |
| الوصف: | We study an optimal M-partition problem for the Yamabe equation on the round sphere, in the presence of some particular symmetries. We show that there is a correspondence between solutions to this problem and least-energy sign-changing symmetric solutions to the Yamabe equation on the sphere with precisely M nodal domains. The existence of an optimal partition is established through the study of the limit profiles of least-energy solutions to a weakly coupled competitive elliptic system on the sphere. Comment: 16 pages and 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1910.07101 |
| رقم الأكسشن: | edsarx.1910.07101 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |