Martin Ulmer

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20232026

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math.AP2026

Failure of Calderón-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 Calderón-Zygmund estimates for degenerate linear elliptic PDEs when the weights are in $A_{p}$ , $p > 2…

math.AP2026

Nontangential Maximal Function estimates for the elliptic Mixed Boundary Value Problem with variable coefficients

Hongjie Dong, Martin Ulmer

We consider an elliptic operator $L$ with variable, merely bounded, and measurable coefficients on a Lipschitz domain, and study solutions to $Lu = 0$ that attain given Neumann and D…

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

Nontangential Maximal Function estimates for the elliptic Mixed Boundary Value Problem with variable coefficients

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