A simple proof of the refined sharp weighted Caffarelli-Kohn-Nirenberg inequalities

Steven Kendell; Nguyen Lam; Dylan Smith; Austin White; Parker Wiseman; Steven Kendell; Nguyen Lam; Dylan Smith; Austin White; Parker Wiseman

doi:10.3934/math.20231431

AIMS Mathematics

2023, Volume 8, Issue 11: 27983-27988. doi: 10.3934/math.20231431

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A simple proof of the refined sharp weighted Caffarelli-Kohn-Nirenberg inequalities

School of Science & Environment, Grenfell Campus, Memorial University of Newfoundland, Corner Brook, NL A2H5G4, Canada

Received: 04 July 2023 Revised: 16 August 2023 Accepted: 05 October 2023 Published: 11 October 2023
MSC : 26D10, 35J20

We provided a simple and direct proof of an improved version of the main results of the paper by Catrina and Costa (2009).
- uncertainty principle,
- Caffarelli-Kohn-Nirenberg inequalities,
- sharp constants,
- optimizers
Citation: Steven Kendell, Nguyen Lam, Dylan Smith, Austin White, Parker Wiseman. A simple proof of the refined sharp weighted Caffarelli-Kohn-Nirenberg inequalities[J]. AIMS Mathematics, 2023, 8(11): 27983-27988. doi: 10.3934/math.20231431

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Abstract

We provided a simple and direct proof of an improved version of the main results of the paper by Catrina and Costa (2009).

References

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