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math.AP2020★ 1 cited
Optimal regularity for Lagrangian mean curvature type equations
Arunima Bhattacharya, Ravi Shankar
We classify regularity for Lagrangian mean curvature type equations, which include the potential equation for prescribed Lagrangian mean curvature and those for Lagrangian mean cur…
math.AP2020
Regularity for convex viscosity solutions of Lagrangian mean curvature equation
Arunima Bhattacharya, Ravi Shankar
We show that convex viscosity solutions of the Lagrangian mean curvature equation are regular if the Lagrangian phase has Hölder continuous second derivatives.