On the sharp second order Caffarelli–Kohn–Nirenberg inequality
The purpose of this paper is twofold. By developing a new technique, we first prove some sharp Caffarelli–Kohn–Nirenberg inequalities of second order for non-radial functions. As a direct consequence, we recover the sharp second order uncertainty principle in Cazacu, Flynn and Lam (2022). For the class of radial functions, we next establish a sharp inequality which can be regarded as the second order version of Xia's inequality (2007).
Authors
- Anh Tuan Duong (ORCID: https://orcid.org/0000-0003-4744-8219)
- Van Hoang Nguyen (ORCID: https://orcid.org/0000-0002-0030-5811)
Institutions
- FPT University (VN)
- Hanoi University of Science and Technology (VN)
Publication Details
- Journal
- Annales Fennici Mathematici
- Published
- 2025-05-06
- DOI
- https://doi.org/10.54330/afm.161506
- Citations
- 1
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 1.50
Funders
- National Foundation for Science and Technology Development
- Vietnam Institute for Advanced Study in Mathematics