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Quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories

Jongmyeong Kim, Se-Chan Lee

Quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories

Name: Quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories
Author: Jongmyeong Kim, Se-Chan Lee

Jongmyeong Kim, Se-Chan Lee

paper2025-12-24English

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quantitative financearxiv

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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.