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Lukas Koch
Lukas Koch
Postdoc, MPI MiS Leipzig
Verified email at mis.mpg.de
Title
Cited by
Cited by
Year
Global higher integrability for minimisers of convex functionals with (p, q)-growth
L Koch
Calculus of Variations and Partial Differential Equations 60, 1-29, 2021
202021
Boundary regularity for manifold constrained -harmonic maps
I Chlebicka, C De Filippis, L Koch
arXiv preprint arXiv:2001.06243, 2020
182020
Global higher integrability for minimisers of convex obstacle problems with (p, q)-growth
L Koch
Calculus of Variations and Partial Differential Equations 61 (3), 88, 2022
132022
The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces
A Guerra, L Koch, S Lindberg
Calculus of Variations and Partial Differential Equations 60, 1-14, 2021
92021
Energy minimisers with prescribed Jacobian
A Guerra, L Koch, S Lindberg
Archive for Rational Mechanics and Analysis 242 (2), 1059-1090, 2021
72021
Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs
A Guerra, L Koch, S Lindberg
Advances in Mathematics 415, 108869, 2023
62023
On global absence of Lavrentiev gap for functionals with (p, q)-growth
L Koch
arXiv preprint arXiv:2210.15454, 2022
62022
On the Lavrentiev gap for convex, vectorial integral functionals
L Koch, M Ruf, M Schäffner
arXiv preprint arXiv:2305.19934, 2023
52023
Lecture notes on the harmonic approximation to quadratic optimal transport
L Koch, F Otto
arXiv preprint arXiv:2303.14462, 2023
32023
Geometric regularisation for optimal transport with strongly p-convex cost
L Koch
arXiv preprint arXiv:2303.10760, 2023
22023
On the validity of the Euler-Lagrange system without growth assumptions
L Koch, J Kristensen
arXiv preprint arXiv:2203.00333, 2022
22022
Boundary regularity results for minimisers of convex functionals with (p, q)-growth
C Irving, L Koch
Advances in Nonlinear Analysis 12 (1), 20230110, 2023
12023
A note on improved differentiability for the Banach-space valued Finsler -Laplacian
M Goering, L Koch
Comptes Rendus. Mathématique 361 (G7), 1091-1105, 2023
2023
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications
L Koch
Nonlinear Differential Equations and Applications NoDEA 29 (6), 75, 2022
2022
Matching problem and optimal transportation (03.08. 2022)
L Koch
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