Author

Jonas Hirsch

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Preprint Sep 2026

Optimal regularity for vectorial, higher order and non-minimizing Bernoulli problems

We prove the Lipschitz regularity of solutions for a wide class of generalized Bernoulli free boundary problems, in vectorial, higher order, and non-minimizing settings. Our method does not rely on notions of viscosity solutions or comparison methods, which allows us to reach the optimal regularity for Bernoulli-type p...

G. De Philippis, Jonas Hirsch, Mickael Nahon · 1 citation

Preprint Oct 2026

Regularity for the prescribed vertical mean curvature system in the plane

We prove everywhere regularity for Lipschitz solutions to the prescribed vertical mean curvature system in the plane, where the codimension is arbitrary and the mean curvature is in $L^r, \, r>2$. This strengthens and extends our previous result on the Lawson-Osserman conjecture, https://arxiv.org/abs/2308.04997.

Jonas Hirsch, Connor Mooney, Riccardo Tione · 0 citations