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math.AP2021★ 8 cited
A note on the two dimensional Lagrangian mean curvature equation
Arunima Bhattacharya
In this note, we use Warren-Yuan's super isoperimetric inequality on the level sets of subharmonic functions, which is available only in two dimensions, to derive a modified Hessia…
math.AP2021
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…