Lukas Koch

Lecturer in Mathematics

University of Sussex

United Kingdom

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Lukas Koch is a Lecturer in Mathematics at the University of Sussex, UK. His research interests include the Lavrentiev gap for convex vectorial integral functionals, optimal transport, and the regularity of minimisers of convex functionals. He has published recent articles on topics such as the differentiability for the Banach-space valued Finsler γ-Laplacian and nonlinear open mapping principles, contributing significantly to the field of mathematics.

Articles (10)

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2025

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2024

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2023

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2023

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2023

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2022

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2022

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2021

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2021

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2021

Collaborators (1)

Cristiana De Filippis

Assistant Professor - Tenure Track RTDB

University of Parma

ITALY

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Lukas Koch

Research Interests

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Articles (10)

On the Lavrentiev gap for convex, vectorial integral functionals

Geometric linearisation for optimal transport with strongly p-convex cost

A note on improved differentiability for the Banach-space valued Finsler γ-Laplacian

Boundary regularity results for minimisers of convex functionals with (p, q)-growth

Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs

Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications

Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth

Boundary regularity for manifold constrained p(x)-harmonic maps

Global higher integrability for minimisers of convex functionals with (p,q)-growth

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces

Collaborators (1)

Cristiana De Filippis

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