Multiple positive solutions for Kirchhoff problems with sign-changing potential
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/202/abstr.html |
| _version_ | 1818986134224502784 |
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| author | Gao-Sheng Liu Chun-Yu Lei Liu-Tao Guo Hong Rong |
| author_facet | Gao-Sheng Liu Chun-Yu Lei Liu-Tao Guo Hong Rong |
| author_sort | Gao-Sheng Liu |
| collection | DOAJ |
| description | In this article, we study the existence and multiplicity of positive solutions
for a class of Kirchhoff type equations with sign-changing potential.
Using the Nehari manifold, we obtain two positive solutions. |
| first_indexed | 2024-12-20T18:45:58Z |
| format | Article |
| id | doaj.art-58a6f0264bb3492ba8cf887d1b497ae8 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-20T18:45:58Z |
| publishDate | 2015-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-58a6f0264bb3492ba8cf887d1b497ae82022-12-21T19:29:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-08-012015202,110Multiple positive solutions for Kirchhoff problems with sign-changing potentialGao-Sheng Liu0Chun-Yu Lei1Liu-Tao Guo2Hong Rong3 Guizhou Minzu Univ., Guiyang, China Guizhou Minzu Univ., Guiyang, China Guizhou Minzu Univ., Guiyang, China Guizhou Minzu Univ., Guiyang, China In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.http://ejde.math.txstate.edu/Volumes/2015/202/abstr.htmlKirchhoff type equationsign-changing potentialNehari manifold |
| spellingShingle | Gao-Sheng Liu Chun-Yu Lei Liu-Tao Guo Hong Rong Multiple positive solutions for Kirchhoff problems with sign-changing potential Electronic Journal of Differential Equations Kirchhoff type equation sign-changing potential Nehari manifold |
| title | Multiple positive solutions for Kirchhoff problems with sign-changing potential |
| title_full | Multiple positive solutions for Kirchhoff problems with sign-changing potential |
| title_fullStr | Multiple positive solutions for Kirchhoff problems with sign-changing potential |
| title_full_unstemmed | Multiple positive solutions for Kirchhoff problems with sign-changing potential |
| title_short | Multiple positive solutions for Kirchhoff problems with sign-changing potential |
| title_sort | multiple positive solutions for kirchhoff problems with sign changing potential |
| topic | Kirchhoff type equation sign-changing potential Nehari manifold |
| url | http://ejde.math.txstate.edu/Volumes/2015/202/abstr.html |
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