17 citations · 49 across the 24 of their papers we have counts for
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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…
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.
Hessian Estimates for Lagrangian mean curvature equation
Arunima Bhattacharya
In this paper, we derive a priori interior Hessian estimates for Lagrangian mean curvature equation if the Lagrangian phase is supercritical and has bounded second derivatives.
The Dirichlet problem for Lagrangian mean curvature equation
Arunima Bhattacharya
In this paper, we solve the Dirichlet problem with continuous boundary data for the Lagrangian mean curvature equation on a uniformly convex, bounded domain in .