Armin Schikorra

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math.AP2026

On Serrin Interior Regularity Criterion for Navier-Stokes Equations

Robin Ming Chen, Giovanni P. Galdi, Bruno Poggi +1

We revisit Serrin's interior spatial regularity criterion for distributional solutions to the Navier-Stokes equations in $R^{3}$ and considerably relax the hypotheses in two…

math.AP2026

Failure of CalderÃ³n-Zygmund estimates for degenerate elliptic PDEs with $A_{p}$ -weights when $p > 2$

Armin Schikorra, Martin Ulmer

We use convex integration techniques to provide examples of failure of weighted CalderÃ³n-Zygmund estimates for degenerate linear elliptic PDEs when the weights are in $A_{p}$ , $p >…

math.AP2024

Obstacles for Sobolev-homeomorphisms with low rank -- pointwise a.e. vs distributional Jacobians

Woongbae Park, Armin Schikorra

We show that for any $k$ and $s > \frac{k + 1}{k + 2}$ there exist neither $W^{s, \frac{k}{s}}$ -Sobolev nor $C^{s}$ -HÃ¶lder homeomorphisms from the disk $B^{n}$ into $R^{N}$ …

On Serrin Interior Regularity Criterion for Navier-Stokes Equations

Failure of CalderÃ³n-Zygmund estimates for degenerate elliptic PDEs with Ap​-weights when p>2

Obstacles for Sobolev-homeomorphisms with low rank -- pointwise a.e. vs distributional Jacobians

Failure of CalderÃ³n-Zygmund estimates for degenerate elliptic PDEs with $A_{p}$ -weights when $p > 2$