TY - JOUR AU - Jiang, Wenwen AU - Li, Jia PY - 2025 TI - Local max-norm regularity estimates for gradient solutions of variational inequalities involving a class of doubly degenerate parabolic operators arising from quanto option valuation analysis JO - AIMS Mathematics SP - 21902 EP - 21915 VL - 10 IS - 9 AB - This paper investigates a class of variational inequality problems governed by double-phase degenerate parabolic operators on cylindrical domains within bounded open sets, which arises from sensitivity analysis of quanto option valuation. The main result establishes max-norm regularity estimates for gradient solutions of the variational inequality. UR - https://doi.org/10.3934/math.2025975 DO - 10.3934/math.2025975