تقرير
On the first eigenvalue of Liouville-type problems
| العنوان: | On the first eigenvalue of Liouville-type problems |
|---|---|
| المؤلفون: | Bartolucci, Daniele, Cosentino, Paolo, Jevnikar, Aleks, Lin, Chang-Shou |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35J61, 35A23, 35P15 |
| الوصف: | The aim of this note is to study the spectrum of a linearized Liouville-type problem, characterizing the case in which the first eigenvalue is zero. Interestingly enough, we obtain also point-wise information on the associated first eigenfunction. To this end, we refine the Alexandrov-Bol inequality suitable for our problem and characterize its equality case. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.10256 |
| رقم الأكسشن: | edsarx.2306.10256 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |