A Simpler Proof of Frank and Lieb's Sharp Inequality on the Heisenberg Group

التفاصيل البيبلوغرافية
العنوان: A Simpler Proof of Frank and Lieb's Sharp Inequality on the Heisenberg Group
المؤلفون: Hang, Fengbo, Wang, Xiaodong
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, Mathematics - Differential Geometry
الوصف: We give a simpler proof of the sharp Frank-Lieb inequality on the Heisenberg group. The proof bypasses the sophisticated argument for existence of a minimizer and is based on the study of the 2nd variation of subcritical functionals using their fundamental techniques.
Comment: typos corrected
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2211.10301
رقم الأكسشن: edsarx.2211.10301
قاعدة البيانات: arXiv