Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms
In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain. With the aid of Ekeland's variational principle, Jeanjean's monotone method and the Pohožaev identity we prove that the Kirchhoff...
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| Format: | Article |
| Language: | English |
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University of Szeged
2016-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4558 |
| _version_ | 1797830563900424192 |
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| author | Xiaofei Cao Junxiang Xu |
| author_facet | Xiaofei Cao Junxiang Xu |
| author_sort | Xiaofei Cao |
| collection | DOAJ |
| description | In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain. With the aid of Ekeland's variational principle, Jeanjean's monotone method and the Pohožaev identity we prove that the Kirchhoff problem has at least two solutions. |
| first_indexed | 2024-04-09T13:39:12Z |
| format | Article |
| id | doaj.art-2e80070fccbb49b9b2be098d67772b99 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:12Z |
| publishDate | 2016-03-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-2e80070fccbb49b9b2be098d67772b992023-05-09T07:53:05ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752016-03-0120161611410.14232/ejqtde.2016.1.164558Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear termsXiaofei Cao0Junxiang Xu1Department of Mathematics, Southeast University, Nanjing, Jiangsu, P. R.ChinaSoutheast University, Nanjing, P. R. ChinaIn this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain. With the aid of Ekeland's variational principle, Jeanjean's monotone method and the Pohožaev identity we prove that the Kirchhoff problem has at least two solutions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4558kirchhoff type problempohožaev identityvariational method |
| spellingShingle | Xiaofei Cao Junxiang Xu Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms Electronic Journal of Qualitative Theory of Differential Equations kirchhoff type problem pohožaev identity variational method |
| title | Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms |
| title_full | Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms |
| title_fullStr | Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms |
| title_full_unstemmed | Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms |
| title_short | Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms |
| title_sort | multiple solutions for kirchhoff type problems involving super linear and sub linear terms |
| topic | kirchhoff type problem pohožaev identity variational method |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4558 |
| work_keys_str_mv | AT xiaofeicao multiplesolutionsforkirchhofftypeproblemsinvolvingsuperlinearandsublinearterms AT junxiangxu multiplesolutionsforkirchhofftypeproblemsinvolvingsuperlinearandsublinearterms |