Author

Amit Acharya

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Preprint Jul 2026

Estimates on elliptic equations that hold only where the Hessian is large

In this article, we establish H\"older regularity for viscosity solutions to a class of degenerate fully nonlinear elliptic equations of the form \[ F(D^2u,Du)=f(x)~~\text{in}~~B_1, \] where the operator is elliptic only in regions where the Hessian is sufficiently large. Such equations arise naturally in free boundary...

Amit Acharya, Ram Baran Verma · 0 citations