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math.OC2025
Kantorovich-Rubinstein duality theory for the Hessian
Karol BoÅbotowski, Guy Bouchitté
The classical Kantorovich-Rubinstein duality theorem establishes a significant connection between Monge optimal transport and maximization of a linear form on the set of 1-Lipschit…
math.OC2025
The Isotropic Material Design methods with the cost expressed by the -norm
Karol BoÅbotowski, SÅawomir Czarnecki, Tomasz LewiÅski
The paper concerns the problem of minimization of the compliance of linear elastic structures made of an isotropic material. The bulk and shear moduli are the design variables, bot…