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Infinitely Many Solutions to a Class of p-Laplace Equations

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成果类型:
期刊论文
作者:
Deng, Yi-Hua*
通讯作者:
Deng, Yi-Hua
作者机构:
[Deng, Yi-Hua] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
通讯机构:
[Deng, Yi-Hua] H
Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
语种:
英文
关键词:
p-Laplace equation;variational methods;infinitely many solutions;nonnegative solution
期刊:
应用数学学报:英文版
ISSN:
0168-9673
年:
2019
卷:
35
期:
4
页码:
770-779
基金类别:
35J20 35J60 publisher-imprint-name Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, co-publsihed with Springer volume-issue-count 4 issue-article-count 20 issue-toc-levels 0 issue-pricelist-year 2019 issue-copyright-holder Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature issue-copyright-year 2019 article-contains-esm No article-numbering-style Unnumbered article-registration-date-year 2019 article-registration-date-month 12 article-registration-date-day 18 article-toc-levels 0 toc-levels 0 volume-type Regular journal-product ArchiveJournal numbering-style Unnumbered article-grants-type Regular metadata-grant OpenAccess abstract-grant OpenAccess bodypdf-grant Restricted bodyhtml-grant Restricted bibliography-grant Restricted esm-grant OpenAccess online-first false pdf-file-reference BodyRef/PDF/10255_2019_Article_851.pdf target-type OnlinePDF issue-online-date-year 2019 issue-online-date-month 12 issue-online-date-day 19 issue-type Regular article-type OriginalPaper journal-subject-primary Mathematics journal-subject-secondary Applications of Mathematics journal-subject-secondary Math Applications in Computer Science journal-subject-secondary Theoretical, Mathematical and Computational Physics journal-subject-collection Mathematics and Statistics open-access false This research is supported by Hunan Provincial Natural Science Foundation of China (14JJ2120), and partly supported by Application-oriented Special Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong[2018]469), Hunan provincial key laboratory of intelligent information processing and application (2016TP1020).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this paper, we study a class of p-Laplace equations. Using variational methods, we prove that there are two solutions and one of these solutions is nonnegative. Using recurrence method, we prove that there are infinitely many solutio...

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