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arXiv · 2608.30167

The symmetric maximal surface equation

Rongli Huang·Peihe Wang·Hengyu Zhou
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Abstract

We establish the existence of smooth solutions to the symmetric maximal surface equation with degenerate boundary conditions. Moreover, we prove that these solutions maximize the associated area functionals. This result serves as the Lorentzian analogue of minimal graphs in hyperbolic spaces together with their associated area minimizing problem.

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Rongli Huang, Peihe Wang, Hengyu Zhou. 2026-08-31. The symmetric maximal surface equation. https://arxiv.org/abs/2608.30167

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