4 papers · 1 filter
Doubling and the two-dimensional critical valued Lagrangian phase
Arunima Bhattacharya, Ravi Shankar, Jeremy Wall
In this paper, we establish interior Hessian and gradient estimates for the two-dimensional Lagrangian mean curvature equation when the phase changes signs, provided the gradient o…
Singularities of the Lagrangian mean curvature flow at the critical Lagrangian phase
Arunima Bhattacharya, Ravi Shankar, Jeremy Wall +1
We establish interior estimates for singularities of the Lagrangian mean curvature flow when the Lagrangian phase is critical, i.e., , and extend our res…
A Priori Estimates for Singularities of the Lagrangian Mean Curvature Flow with Supercritical Phase
Arunima Bhattacharya, Jeremy Wall
In this paper, we prove interior a priori estimates for singularities of the Lagrangian mean curvature flow assuming the Lagrangian phase is supercritical. We prove a Jacobi inequa…
Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian Mean Curvature Flow
Arunima Bhattacharya, Jeremy Wall
In this paper, we prove interior Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian mean curvature flow under the assumption that the Lagrangia…