Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms
In this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-08-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2025-0183 |
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| author | Liang Jin-Ping Wang Ran-Ran Wang Yue |
| author_facet | Liang Jin-Ping Wang Ran-Ran Wang Yue |
| author_sort | Liang Jin-Ping |
| collection | DOAJ |
| description | In this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions. |
| format | Article |
| id | doaj-art-d7ddf59328984b7eb01834c4399e89f0 |
| institution | Kabale University |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-d7ddf59328984b7eb01834c4399e89f02025-08-20T04:03:17ZengDe GruyterOpen Mathematics2391-54552025-08-0123111542298210.1515/math-2025-0183Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave termsLiang Jin-Ping0Wang Ran-Ran1Wang Yue2School of Preparatory Education, Qiannan Normal University for Nationalities, Duyun 558000, P.R. ChinaDuyun Experimental Primary School, Duyun 558000, P.R. ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, P.R. ChinaIn this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.https://doi.org/10.1515/math-2025-0183p-kirchhoff-type equationlogarithmic and concave termsvariational methodpositive solution35a1535b0935j60 |
| spellingShingle | Liang Jin-Ping Wang Ran-Ran Wang Yue Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms Open Mathematics p-kirchhoff-type equation logarithmic and concave terms variational method positive solution 35a15 35b09 35j60 |
| title | Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms |
| title_full | Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms |
| title_fullStr | Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms |
| title_full_unstemmed | Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms |
| title_short | Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms |
| title_sort | multiple positive solutions to a p kirchhoff equation with logarithmic terms and concave terms |
| topic | p-kirchhoff-type equation logarithmic and concave terms variational method positive solution 35a15 35b09 35j60 |
| url | https://doi.org/10.1515/math-2025-0183 |
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