论文标题

关于Lagrangian相位方程的Dirichlet问题,具有关键和超临界阶段

On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase

论文作者

Lu, Siyuan

论文摘要

在本文中,我们用关键和超临界相的拉格朗日相位方程解决了dirichlet问题。关键成分是内部$ C^2 $估计。从亚临界相病例中存在单数解决方案的意义上,我们的结果很敏锐。

In this paper, we solve the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. A crucial ingredient is the interior $C^2$ estimate. Our result is sharp in the sense that there exist singular solutions in the subcritical phase case.

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