S. Schiffer

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20242026

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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

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 $Q = [0, 1]^{I^} ½$ , $I^½ \geq 3$ . We show that there is a divergence-free vector field $v \in L^{1} ((0, 1); L^{p} (Q))$ such t…