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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 . More precisely, given a target fluid configuration (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 to a system that a priori only…