Published Paper

Inserted: 23 oct 2024
Last Updated: 17 feb 2026

Journal: Calculus of Variations and Partial Differential Equations
Year: 2026
Doi: https://doi.org/10.1007/s00526-025-03237-6

Abstract:

In this paper we prove that solutions to a transmission problem degenerating on the interface are H\"older differentiable up to the interface with universal estimates. Furthermore, we obtain a sharper pointwise $C^{1,\alpha(\cdot)}$ with optimal variable exponent and uniform estimates.