scholarly journals Numerical method for image registration model based on optimal mass transport

2018 ◽  
Vol 12 (2) ◽  
pp. 401-432 ◽  
Author(s):  
Yangang Chen ◽  
◽  
Justin W. L. Wan ◽  
2018 ◽  
Vol 149 (03) ◽  
pp. 691-718 ◽  
Author(s):  
Nguyen Lam

AbstractIn 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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