The Nitsche-Hopf conjecture holds for non-parametric minimal graphs over disks, giving the sharp bound W(ξ)² |K(ξ)| < π²/(2R²) at the point above the center.
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The Nitsche--Hopf conjecture for minimal graphs
The Nitsche-Hopf conjecture holds for non-parametric minimal graphs over disks, giving the sharp bound W(ξ)² |K(ξ)| < π²/(2R²) at the point above the center.