Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities
We study a three-point nonlinear boundary value problem with higher-order p-Laplacian. We show that there exist countable many positive solutions by using the fixed point index theorem for operators in a cone.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/69073 |
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| _version_ | 1832545348078272512 |
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| author | Fuyi Xu Yonghong Wu Lishan Liu Yunming Zhou |
| author_facet | Fuyi Xu Yonghong Wu Lishan Liu Yunming Zhou |
| author_sort | Fuyi Xu |
| collection | DOAJ |
| description | We study a three-point nonlinear boundary value problem with higher-order
p-Laplacian. We show that there exist countable many positive solutions by using the fixed point index
theorem for operators in a cone. |
| format | Article |
| id | doaj-art-0c8b27a74e0c46dba4f6bee66c240d99 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0c8b27a74e0c46dba4f6bee66c240d992025-02-03T07:26:01ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/6907369073Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularitiesFuyi Xu0Yonghong Wu1Lishan Liu2Yunming Zhou3School of Mathematics and Information Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaDepartment of Mathematics, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematics and Information Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaWe study a three-point nonlinear boundary value problem with higher-order p-Laplacian. We show that there exist countable many positive solutions by using the fixed point index theorem for operators in a cone.http://dx.doi.org/10.1155/DDNS/2006/69073 |
| spellingShingle | Fuyi Xu Yonghong Wu Lishan Liu Yunming Zhou Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities Discrete Dynamics in Nature and Society |
| title | Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities |
| title_full | Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities |
| title_fullStr | Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities |
| title_full_unstemmed | Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities |
| title_short | Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities |
| title_sort | positive solutions of three point boundary value problems for higher order p laplacian with infinitely many singularities |
| url | http://dx.doi.org/10.1155/DDNS/2006/69073 |
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