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A sharp Bernstein-type theorem for entire minimal graphs. (arXiv:1707.04113v1 [math.AP])
来源于:arXiv
We consider entire solutions $u$ to the minimal surface equation in $R^N$,
with $ N\ge8,$ and we prove the following sharp result : if $N-7$ partial
derivatives $ \frac{\partial u }{\partial {x_j}}$ are bounded on one side (not
necessarily the same), then $u$ is necessarily an affine function. 查看全文>>