Lukas Koch

most citedOn the validity of the Euler-Lagrange system without growth assumptions

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math.AP2025

Uniform large-scale $ε$ -regularity for entropic optimal transport

Rishabh S. Gvalani, Lukas Koch

We study the regularity properties of the minimisers of entropic optimal transport providing a natural analogue of the $ε$ -regularity theory of quadratic optimal transpor…

math.AP2022★ 1 cited

On the validity of the Euler-Lagrange system without growth assumptions

Lukas Koch, Jan Kristensen

The constrained minimisers of convex integral functionals of the form $F (v) = \int_{Ω} F (\nabla^{k} v (x)) d x$ defined on Sobolev mappings $v\in \mathrm W^{k,1}_g(Ω, \mat…

Uniform large-scale ε-regularity for entropic optimal transport

On the validity of the Euler-Lagrange system without growth assumptions

Uniform large-scale $ε$ -regularity for entropic optimal transport