Global $W^{2,p}$ estimates for elliptic equations in the non-divergence form
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- by Weifeng Qiu and Lan Tang
- Proc. Amer. Math. Soc. 151 (2023), 763-770
- DOI: https://doi.org/10.1090/proc/16169
- Published electronically: September 15, 2022
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Abstract:
This paper is devoted to establishing global $W^{2, p}$ estimate for strong solutions to the Dirichlet problem of uniformly elliptic equations in the non-divergence form where the domain is a Lipschitz polyhedra.References
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Bibliographic Information
- Weifeng Qiu
- Affiliation: Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, People’s Republic of China
- MR Author ID: 845089
- Email: weifeqiu@cityu.edu.hk
- Lan Tang
- Affiliation: School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei 430079, People’s Republic of China
- Email: lantang@mail.ccnu.edu.cn
- Received by editor(s): October 8, 2021
- Received by editor(s) in revised form: June 1, 2022
- Published electronically: September 15, 2022
- Additional Notes: The first author was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CityU 11302219). The second author was supported by the National Natural Science Foundation of China (No. 11831009 and No. 12171185)
- Communicated by: Ryan Hynd
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 151 (2023), 763-770
- MSC (2020): Primary 35B65, 35D35, 35J25
- DOI: https://doi.org/10.1090/proc/16169
- MathSciNet review: 4520025