# Curvature of minimal graphs

@inproceedings{Kalaj2021CurvatureOM, title={Curvature of minimal graphs}, author={David Kalaj}, year={2021} }

We consider the Gaussian curvature conjecture of a minimal graph S over the unit disk. First of all we reduce the general conjecture to the estimating the Gaussian curvature of some Scherk’s type minimal surfaces over a quadrilateral inscribed in the unit disk containing the origin inside. As an application we improve so far the obtained upper estimates of Gaussian curvature at the point above the center. Further we obtain an optimal estimate of the Gaussian curvature at the point w over the… Expand

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