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

Siyuan Lu

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arXiv · 2204.05420

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

Siyuan Lu

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Abstract

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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Siyuan Lu. 2022-04-11. On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. https://arxiv.org/abs/2204.05420

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