scholarly journals Polar factorization of conformal and projective maps of the sphere in the sense of optimal mass transport

2018 ◽  
Vol 225 (1) ◽  
pp. 465-478
Author(s):  
Yamile Godoy ◽  
Marcos Salvai
Keyword(s):  
Mass Transport ◽  
Optimal Mass Transport ◽  
Polar Factorization

General sharp weighted Caffarelli–Kohn–Nirenberg inequalities

2018 ◽  
Vol 149 (03) ◽  
pp. 691-718 ◽  
Author(s):  
Nguyen Lam
Keyword(s):  
Mass Transport ◽  
Sharp Constants ◽  
Optimal Mass Transport

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.

scholarly journals A Vectorial Approach to Unbalanced Optimal Mass Transport

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

scholarly journals Optimal Mass Transport in Thin Domains

2014 ◽  
Vol 14 (1) ◽  
Author(s):  
José C. Navarro-Climent ◽  
Julio D. Rossi ◽  
Raúl C. Volpe
Keyword(s):  
Mass Transport ◽  
Euclidean Distance ◽  
Optimal Transport ◽  
Transport Problem ◽  
Thin Domains ◽  
Optimal Mass Transport

AbstractWe find the behavior of the solution of the optimal transport problem for the Euclidean distance (and its approximation by p−Laplacian problems) when the involved measures are supported in a domain that is contracted in one direction.

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