1 citations · 1 across the 3 of their papers we have counts for
5 papers
Colding-Minicozzi Entropies in Cartan-Hadamard Manifolds
Jacob Bernstein, Arunima Bhattacharya
We introduce a family of functionals on submanifolds of Cartan-Hadamard manifolds that generalize the Colding-Minicozzi entropy of submanifolds of Euclidean space. We show that the…
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…
Regularity for critical points of convex functionals on Hessian spaces
Arunima Bhattacharya
We consider variational integrals of the form where is convex and smooth on the Hessian space. We show that a critical point of such a functi…
Regularity of Hamiltonian Stationary Equations in Symplectic manifolds
Arunima Bhattacharya, Jingyi Chen, Micah Warren
In this paper, we prove that any -regular Hamiltonian stationary Lagrangian submanifold in a symplectic manifold is smooth. More broadly, we develop a regularity theory for…
Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions
Arunima Bhattacharya, Micah Warren
We consider the Hamiltonian stationary equation for all phases in dimension two. We show that solutions that are will be smooth and we also derive a estimate fo…