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The existence and nonexistence of positive solutions for a singular Kirchhoff equation with convection term

Authors :
Xiaohui Qiu
Baoqiang Yan
Source :
Mathematical Biosciences and Engineering, Vol 19, Iss 10, Pp 10581-10601 (2022)
Publication Year :
2022
Publisher :
AIMS Press, 2022.

Abstract

This paper considers a singular Kirchhoff equation with convection and a parameter. By defining new sub-supersolutions, we prove a new sub-supersolution theorem. Combining method of sub-supersolution with the comparison principle, for Kirchhoff equation with convection, we get the conclusion about positive solutions when nonlinear term is singular and sign-changing.

Details

Language :
English
ISSN :
15510018
Volume :
19
Issue :
10
Database :
Directory of Open Access Journals
Journal :
Mathematical Biosciences and Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.6ee8ba94c804ca38efc35ada545706d
Document Type :
article
Full Text :
https://doi.org/10.3934/mbe.2022494?viewType=HTML