12 citations · 44 across the 14 of their papers we have counts for
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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…