Remarks on the Pucci conjecture
2020 Department of Mathematics, Indiana University. All rights reserved. The Pucci conjecture concerns a sharp form of a maximum principle for linear second-order uniformly elliptic partial differential equations in terms of an integral norm of the inhomogeneous term and an ellipticity constant. In this note we consider refinements of its solution in the cases of integral exponents by Kuo and Trudinger and two dimensions by Astala, Iwaniec, and Martin.