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pro vyhledávání: '"Lohmann, Julius"'
We consider the minimization of the $h$-mass over normal $1$-currents in $\mathbb{R}^n$ with coefficients in $\mathbb{R}^m$ and prescribed boundary. This optimization is known as multi-material transport problem and used in the context of logistics o
Externí odkaz:
http://arxiv.org/abs/2407.10158
Publikováno v:
Applied Mathematics and Optimization 86:3 (2022) Article 45
In recent work arXiv:2109.07820 we have shown the equivalence of the widely used nonconvex (generalized) branched transport problem with a shape optimization problem of a street or railroad network, known as (generalized) urban planning problem. The
Externí odkaz:
http://arxiv.org/abs/2205.12049
Publikováno v:
Journal de Math\'ematiques Pures et Appliqu\'ees 163 (2022) 739-779
The branched transport problem, a popular recent variant of optimal transport, is a non-convex and non-smooth variational problem on Radon measures. The so-called urban planning problem, on the contrary, is a shape optimization problem that seeks the
Externí odkaz:
http://arxiv.org/abs/2109.07820
Publikováno v:
In Journal de mathématiques pures et appliquées July 2022 163:739-779