Global Weighted Gradient Estimates for Double Obstacle Problems with Orlicz Growth

Qi Xiong; Xing Fu

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arXiv · 2608.27935

Global Weighted Gradient Estimates for Double Obstacle Problems with Orlicz Growth

Qi Xiong·Xing Fu

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Abstract

We study an irregular double obstacle problem with Orlicz growth on a bounded nonsmooth domain. The nonlinear operator is assumed to satisfy standard monotonicity and growth conditions, together with a small bounded mean oscillation condition in the spatial variable, while the domain is Reifenberg flat. We establish a global weighted Orlicz estimate for the gradient of the weak solution in terms of the nonhomogeneous datum, the gradients of the two obstacles, and the boundary datum.

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Qi Xiong, Xing Fu. 2026-08-28. Global Weighted Gradient Estimates for Double Obstacle Problems with Orlicz Growth. https://arxiv.org/abs/2608.27935

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