On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase
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math.DG
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phasecriticaldirichletequationlagrangianproblemsupercriticalcase
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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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