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http://bura.brunel.ac.uk/handle/2438/31335| Title: | Liouville theorems and gradient estimates for positive solutions to a class of quasilinear elliptic equations |
| Authors: | Han, D Winter, M Yang, H |
| Keywords: | non-linear elliptic equation;gradient estimate;p-Laplace |
| Issue Date: | 2-Jul-2025 |
| Publisher: | American Institute of Mathematical Sciences |
| Citation: | Han, D., Winter, M., and Yang, H. (2025) 'Liouville theorems and gradient estimates for positive solutions to a class of quasilinear elliptic equations', Discrete and Continuous Dynamical Systems Series A, 45 (12), pp. 4902 - 4926. doi: 10.3934/dcds.2025078. |
| Abstract: | In this paper, we use the Nash-Moser iteration method to investigate the local and global gradient estimates of positive solutions to a class of quasi-linear elliptic equations [mathematical notation, see full text] on a complete Riemannian manifold [mathematical equation, see full text]. In particular, we provide the explicit expressions of global gradient estimates of entire positive solutions. As an application, we derive several Liouville theorems for these equations. |
| Description: | AMS Subject Classification: 53C20. |
| URI: | https://bura.brunel.ac.uk/handle/2438/31335 |
| ISSN: | 1078-0947 |
| Other Identifiers: | ORCiD: Matthias Winter https://orcid.org/0000-0003-4800-7132 |
| Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | Copyright © 2025 American Institute of Mathematical Sciences. All rights reserved. This article has been published in a revised form in Discrete and Continuous Dynamical Systems Series A, https://doi.org/10.3934/dcds.2025078. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works. See: https://www.aimsciences.org/index/Policies and https://www.aimsciences.org/index/GuideforAuthors. | 550.13 kB | Adobe PDF | View/Open |
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