Lukas Koch

activity

20202026

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

13 citations · 33 across the 13 of their papers we have counts for

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Showing 2022 · math.APShow all

3 papers · 2 filters

math.AP2022★ 1 cited

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

Christopher Irving, Lukas Koch

We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with $(p, q)$ -growth, satisfying a Hölder-growth condition in $x$ . We consider bo…

math.AP2022★ 2 cited

On global absence of Lavrentiev gap for functionals with (p,q)-growth

Lukas Koch

This pre-print has now been superseded by arXiv:2305.19934 and will not be published. We prove that for convex vectorial functionals with (p,q)-growth the Lavrentiev phenomenon doe…

math.AP2022

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

Max Goering, Lukas Koch

We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler $γ$ -Laplacian defined on a $σ$ -convex, $τ$ -smooth Banach space. The operators we con…

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

On global absence of Lavrentiev gap for functionals with (p,q)-growth

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

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