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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/31335
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dc.contributor.authorHan, D-
dc.contributor.authorWinter, M-
dc.contributor.authorYang, H-
dc.date.accessioned2025-05-27T13:12:13Z-
dc.date.available2025-05-27T13:12:13Z-
dc.date.issued2025-07-02-
dc.identifierORCiD: Matthias Winter https://orcid.org/0000-0003-4800-7132-
dc.identifier.citationHan, 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.en_US
dc.identifier.issn1078-0947-
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/31335-
dc.descriptionAMS Subject Classification: 53C20.en_US
dc.description.abstractIn 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.en_US
dc.description.sponsorshipThis work is partly supported by the National Natural Science Foundation of China (12161095, 12361048), Yunnan Fundamental Research Projects (202401AT070130), Cross-integration Innovation team of modern Applied Mathematics and Life Sciences in Yunnan Province, China (202405AS350003) and the China Scholarship Council (202308530236).en_US
dc.format.extent4902 - 4926-
dc.format.mediumPrint-Electronic-
dc.language.isoen_USen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.rightsCopyright © 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.-
dc.rights.urihttps://www.aimsciences.org/index/Policies-
dc.subjectnon-linear elliptic equationen_US
dc.subjectgradient estimateen_US
dc.subjectp-Laplaceen_US
dc.titleLiouville theorems and gradient estimates for positive solutions to a class of quasilinear elliptic equationsen_US
dc.typeArticleen_US
dc.date.dateAccepted2025-05-25-
dc.relation.isPartOfDiscrete and Continuous Dynamical Systems Series A-
pubs.issue12-
pubs.publication-statusPublished-
pubs.volume45-
dc.identifier.eissn1553-5231-
dcterms.dateAccepted2025-05-25-
dc.rights.holderAmerican Institute of Mathematical Sciences-
Appears in Collections:Dept of Mathematics Research Papers

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