S. Schiffer

activity

20242026

most citedOn incompressible flows in discrete networks and Shnirelman's inequality

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing math.APShow all

5 papers · 1 filter

math.AP2026

On Shnirelman's inequality in 2D: Irreversible behavior and Euler-Lagrange variational formulation

Stefan Schiffer, Martina Zizza

In this paper we prove a version of Shnirelman's inequality in the two-dimensional square $[0, 1]^{2}$ . More precisely, given a target fluid configuration $f$ (a volume-preserving dif…

math.AP2026

Higher integrability of solutions to elliptic equations under additional sign constraints

Stefan Schiffer

Solutions to elliptic equations often exhibit higher regularity properties such as \emph{higher integrability}. That is, for instance, a solution $u$ to a system that a priori only…

math.AP2024★ 1 cited

On incompressible flows in discrete networks and Shnirelman's inequality

Stefan Schiffer, Martina Zizza

Let $f$ and $g$ be two volume-preserving diffeomorphisms on the cube $Q = [0, 1]^{ν}$ , $ν \geq 3$ . We show that there is a divergence-free vector field $v \in L^{1} ((0, 1); L^{p} (Q))$ such tha…

math.AP2024

$A$ -free truncation and higher integrability of minimisers

Stefan Schiffer

We show higher integrability of minimisers of functionals \[ I(u) = \int_Ω f(x,u(x)) ~\mathrm{d}x \] subject to a differential constraint $A u = 0$ under natural $p$ -growth…

math.AP2024

Extensions of divergence-free fields in $L^{1}$ -based function spaces

Franz Gmeineder, Stefan Schiffer

We establish the first extension results for divergence-free (or solenoidal) elements of $L^{1}$ -based function spaces. Here, the key point is to preserve the solenoidalit…