Abstract
This article aims to prove a local Calderón–Zygmund estimate for asymptotically regular elliptic double obstacle problems of multi-phase. By approximating the solutions of asymptotically regular double obstacle problems to the solutions of regular single obstacle problems when the gradients of solutions close to infinity, we get that the gradient of the solution is as integrable as both the nonhomogeneous term and the gradients of the associated double obstacles.
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Acknowledgements
We would like to thank the anonymous referee for very valuable comments and suggestions that led to improvement of this paper.
Funding
This research is supported by the Young Scientists Fund of the National Science Foundation of Hebei Province (grant A2021201021) and High-level Talent Research Funding Project of Hebei University (050001/521000981406).
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Feng, J., Liang, S. Regularity for Asymptotically Regular Elliptic Double Obstacle Problems of Multi-phase. Results Math 78, 232 (2023). https://doi.org/10.1007/s00025-023-02008-z
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DOI: https://doi.org/10.1007/s00025-023-02008-z