scholarly journals A Perfect Match Condition for Point-Set Matching Problems Using the Optimal Mass Transport Approach

2013 ◽  
Vol 6 (2) ◽  
pp. 730-764 ◽  
Author(s):  
Pengwen Chen ◽  
Ching-Long Lin ◽  
I-Liang Chern
2015 ◽  
Vol 4 (3) ◽  
pp. 235-249 ◽  
Author(s):  
Leandro Del Pezzo ◽  
Julio Rossi ◽  
Nicolas Saintier ◽  
Ariel Salort

AbstractWe find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.


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.


2013 ◽  
Vol 17 (3) ◽  
pp. 477-501 ◽  
Author(s):  
Mathias Beiglböck ◽  
Pierre Henry-Labordère ◽  
Friedrich Penkner

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 209224-209231
Author(s):  
Jiening Zhu ◽  
Rena Elkin ◽  
Jung Hun Oh ◽  
Joseph O. Deasy ◽  
Allen Tannenbaum

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