PreprintCC BY 4.0arXiv
Global Weighted Gradient Estimates for Double Obstacle Problems with Orlicz Growth
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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BibTeX
@misc{xiong2026global,
title = {{Global Weighted Gradient Estimates for Double Obstacle Problems with Orlicz Growth}},
author = {Qi Xiong and Xing Fu},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.27935},
eprint = {2608.27935},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27935},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Global Weighted Gradient Estimates for Double Obstacle Problems with Orlicz Growth
AU - Qi Xiong
AU - Xing Fu
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.27935
UR - https://arxiv.org/abs/2608.27935
AB - 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.
ER -