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arXiv · 2512.21025

Quantitative bounds for H\"older exponents in the Krylov--Safonov and Evans--Krylov theories

Jongmyeong Kim·Se-Chan Lee
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Abstract

We establish quantitative bounds for H\"older 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.

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Jongmyeong Kim, Se-Chan Lee. 2025-12-24. Quantitative bounds for H\"older exponents in the Krylov--Safonov and Evans--Krylov theories. https://arxiv.org/abs/2512.21025

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