Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth
In order to deeply study the characteristics of Kirchhoff equation, the existence result of the least energy sign-changing solutions to Kirchhoff equation with Hartree term and critical growth nonlinear term was discussed. The technical result of the space E compact embedding L6</sup>(...
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| Format: | Article |
| Language: | zho |
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Hebei University of Science and Technology
2020-08-01
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| Series: | Journal of Hebei University of Science and Technology |
| Subjects: | |
| Online Access: | http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b202004005&flag=1&journal_ |
| _version_ | 1818940088265998336 |
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| author | Wenguo LIANG Yongyan HUANG |
| author_facet | Wenguo LIANG Yongyan HUANG |
| author_sort | Wenguo LIANG |
| collection | DOAJ |
| description | In order to deeply study the characteristics of Kirchhoff equation, the existence result of the least energy sign-changing solutions to Kirchhoff equation with Hartree term and critical growth nonlinear term was discussed. The technical result of the space E compact embedding L6</sup>([WTHZ]R3</sup>)[WTBZ] was obtained by using the infimum of the energy functional on the sign-changing Nehari manifold convergences to zero. The results shows that the minimum point corresponding to the minimizing sequence obtained by the restricted variational method and quantitative deformation lemma is the nontrivial solutions for the problem. The research method in theoretical proof gets effective results and has a certain guiding significance for studying the existence of solutions of other Kirchhoff equations. |
| first_indexed | 2024-12-20T06:34:05Z |
| format | Article |
| id | doaj.art-f634f63eef89448e83e99d2ac546675f |
| institution | Directory Open Access Journal |
| issn | 1008-1542 |
| language | zho |
| last_indexed | 2024-12-20T06:34:05Z |
| publishDate | 2020-08-01 |
| publisher | Hebei University of Science and Technology |
| record_format | Article |
| series | Journal of Hebei University of Science and Technology |
| spelling | doaj.art-f634f63eef89448e83e99d2ac546675f2022-12-21T19:50:03ZzhoHebei University of Science and TechnologyJournal of Hebei University of Science and Technology1008-15422020-08-0141432733310.7535/hbkd.2020yx04005b202004005Existence of least energy sign-changing solutions to Kirchhoff equation with critical growthWenguo LIANG0Yongyan HUANG1School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaIn order to deeply study the characteristics of Kirchhoff equation, the existence result of the least energy sign-changing solutions to Kirchhoff equation with Hartree term and critical growth nonlinear term was discussed. The technical result of the space E compact embedding L6</sup>([WTHZ]R3</sup>)[WTBZ] was obtained by using the infimum of the energy functional on the sign-changing Nehari manifold convergences to zero. The results shows that the minimum point corresponding to the minimizing sequence obtained by the restricted variational method and quantitative deformation lemma is the nontrivial solutions for the problem. The research method in theoretical proof gets effective results and has a certain guiding significance for studying the existence of solutions of other Kirchhoff equations.http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b202004005&flag=1&journal_nonlinear functional analysis; kirchhoff equation; hartree nonlinear term; critical growth; variational method; sign-changing solutions |
| spellingShingle | Wenguo LIANG Yongyan HUANG Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth Journal of Hebei University of Science and Technology nonlinear functional analysis; kirchhoff equation; hartree nonlinear term; critical growth; variational method; sign-changing solutions |
| title | Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth |
| title_full | Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth |
| title_fullStr | Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth |
| title_full_unstemmed | Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth |
| title_short | Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth |
| title_sort | existence of least energy sign changing solutions to kirchhoff equation with critical growth |
| topic | nonlinear functional analysis; kirchhoff equation; hartree nonlinear term; critical growth; variational method; sign-changing solutions |
| url | http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b202004005&flag=1&journal_ |
| work_keys_str_mv | AT wenguoliang existenceofleastenergysignchangingsolutionstokirchhoffequationwithcriticalgrowth AT yongyanhuang existenceofleastenergysignchangingsolutionstokirchhoffequationwithcriticalgrowth |