Quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories
arXiv:2512.21025
Abstract
We establish quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories when the ellipticity ratio is close to one. Our analysis relies on the Ishii--Lions method for the Krylov--Safonov theory and a Schauder-type perturbation argument for the Evans--Krylov theory.
21 pages