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arXiv · 2610.14319

Calabi-Bernstein type theorems for entire solutions of certain nonlinear elliptic equations in the plane

Michael Bildhauer·Martin Fuchs
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Abstract

We provide some extensions of the classical Calabi-Bernstein theorem to the case of entire solutions of certain nonlinear elliptic equations in two variables. Using an appropriate version of the Calabi correspondence, which formulates a duality between minimal graphs in $\mathbb{R}^3$ and maximal spacelike graphs in $\mathbb{L}^3$, our results are a consequence of recent Bernstein type results.

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Michael Bildhauer, Martin Fuchs. 2026-10-09. Calabi-Bernstein type theorems for entire solutions of certain nonlinear elliptic equations in the plane. https://arxiv.org/abs/2610.14319

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