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General sharp weighted Caffarelli–Kohn–Nirenberg inequalities
Published online by Cambridge University Press: 27 December 2018
Abstract
In this paper, we will use optimal mass transport combining with suitable transforms to study the sharp constants and optimizers for a class of the Gagliardo–Nirenberg and Caffarelli–Kohn–Nirenberg inequalities. Moreover, we will investigate these inequalities with and without the monomial weights $x_{1}^{A_{1}} \cdots x_{N}^{A_{N}}$ on ℝN.
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- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 3 , June 2019 , pp. 691 - 718
- Copyright
- Copyright © Royal Society of Edinburgh 2018
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