By Arunima Bhattacharya and others

In this paper, we prove interior gradient estimates for the Lagrangian mean curvature equation, if the Lagrangian phase is critical and supercritical and *C^{2}*. Combined with the a priori interior Hessian estimates proved in [Bha21, Bha22], this solves the Dirichlet boundary value problem for the critical and supercritical Lagrangian mean... Show more

May 26, 2022

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Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase

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