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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math.AP2021★ 13 cited

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

Lukas Koch

We prove global $W^{1, q} (Ω, R^{N})$ -regularity for minimisers of $F (u) = \int_{Ω} F (x, D u) d x$ satisfying $u \geq ψ$ for a given Sobolev obstacle $ψ$ . $W…

math.NA2021

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

Lukas Koch

We consider an iterative procedure to solve quasilinear elliptic systems with $p$ -growth. The scheme was first considered by Koshelev in the quadratic case $p = 2$ . We present numeri…