Liu, Wenbin, Barrett, John W. (1993) A Remark on the Regularity of the Solutions of the p-Laplacian and Its Application to Their Finite Element Approximation. Journal of Mathematical Analysis and Applications, 178 (2). pp. 470-487. ISSN 0022-247X. (doi:10.1006/jmaa.1993.1319) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:36855)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1006/jmaa.1993.1319 |
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Abstract
In this paper, global H2 regularity is established for the solutions of the p-Laplacian equation, 1 < p ? 2, and related equations on domains which are either convex or have C2 boundaries, The results are used to derive some explicit error bounds for the finite element approximation of the p-Laplacian, which were not previously available because of the lack of regularity results.
| Item Type: | Article |
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| DOI/Identification number: | 10.1006/jmaa.1993.1319 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |
| Institutional Unit: | Schools > Kent Business School |
| Former Institutional Unit: |
Divisions > Kent Business School - Division > Kent Business School (do not use)
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| Depositing User: | Steve Liu |
| Date Deposited: | 27 Nov 2013 09:50 UTC |
| Last Modified: | 20 May 2025 11:50 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/36855 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Liu, Wenbin.
| Creator's ORCID: |
 https://orcid.org/0000-0001-5966-6235
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