7 citations · 8 across the 4 of their papers we have counts for
9 papers
Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase
Arunima Bhattacharya, Connor Mooney, Ravi Shankar
In this paper, we prove interior gradient estimates for the Lagrangian mean curvature equation, if the Lagrangian phase is critical and supercritical and . Combined with the…
Rigidity for general semiconvex entire solutions to the sigma-2 equation
Ravi Shankar, Yu Yuan
We show that every general semiconvex entire solution to the sigma-2 equation is a quadratic polynomial. A decade ago, this result was shown for almost convex solutions.
Regularity for convex viscosity solutions of special Lagrangian equation
Jingyi Chen, Ravi Shankar, Yu Yuan
We establish interior regularity for convex viscosity solutions of the special Lagrangian equation. Our result states that all such solutions are real analytic in the interior of t…
Hessian estimate for semiconvex solutions to the sigma-2 equation
Ravi Shankar, Yu Yuan
We derive a priori interior Hessian estimates for semiconvex solutions to the sigma-2 equation. An elusive Jacobi inequality, a transformation rule under the Legendre-Lewy transfor…
Recovering a quasilinear conductivity from boundary measurements
Ravi Shankar
We consider the inverse problem of recovering an isotropic quasilinear conductivity from the Dirichlet-to-Neumann map when the conductivity depends on the solution and its gradient…
Quasi-Noether systems and quasi-Lagrangians
V. Rosenhaus, Ravi Shankar
We study differential systems for which it is possible to establish a correspondence between symmetries and conservation laws based on Noether identity: quasi-Noether systems. We a…