Optimal Hardy inequalities associated with multipolar Schr\'odinger operators

التفاصيل البيبلوغرافية
العنوان: Optimal Hardy inequalities associated with multipolar Schr\'odinger operators
المؤلفون: Jin, Yongyang, Tang, Li, Ye, Can, Shen, Shoufeng
سنة النشر: 2021
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, Mathematical Physics, 26D10, 42B37
الوصف: We proved some optimal Hardy inequalities in RNwhich is closely related to multipolar Schr\"odinger operators with mean-value type potentials, these sharp inequalities imply some multipolar type Heisenberg inequalities. We also obtained someimproved multipolar Hardy inequalities on bounded domains, moreover, we got the range of the best Hardy constant for a specific Hardy inequality.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2107.05785
رقم الأكسشن: edsarx.2107.05785
قاعدة البيانات: arXiv