The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains
In this paper, we study a class of the Kirchhoff-Schrödinger-Poisson system. By using the quantitative deformation lemma and degree theory, the existence result of the least energy sign-changing solution u0 is obtained. Meanwhile, the energy doubling property is proved, that is, we prove that the en...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/8254898 |
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| author | Cun-bin An Jiangyan Yao Wei Han |
| author_facet | Cun-bin An Jiangyan Yao Wei Han |
| author_sort | Cun-bin An |
| collection | DOAJ |
| description | In this paper, we study a class of the Kirchhoff-Schrödinger-Poisson system. By using the quantitative deformation lemma and degree theory, the existence result of the least energy sign-changing solution u0 is obtained. Meanwhile, the energy doubling property is proved, that is, we prove that the energy of any sign-changing solution is strictly larger than twice that of the least energy. Moreover, we also get the convergence properties of u0 as the parameters b↘0 and λ↘0. |
| format | Article |
| id | doaj-art-248f26b0f1f0435e97d1f961be0b7e7f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-248f26b0f1f0435e97d1f961be0b7e7f2025-02-03T05:49:29ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/82548988254898The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded DomainsCun-bin An0Jiangyan Yao1Wei Han2School of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi 037009, ChinaDepartment of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaDepartment of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaIn this paper, we study a class of the Kirchhoff-Schrödinger-Poisson system. By using the quantitative deformation lemma and degree theory, the existence result of the least energy sign-changing solution u0 is obtained. Meanwhile, the energy doubling property is proved, that is, we prove that the energy of any sign-changing solution is strictly larger than twice that of the least energy. Moreover, we also get the convergence properties of u0 as the parameters b↘0 and λ↘0.http://dx.doi.org/10.1155/2020/8254898 |
| spellingShingle | Cun-bin An Jiangyan Yao Wei Han The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains Advances in Mathematical Physics |
| title | The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains |
| title_full | The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains |
| title_fullStr | The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains |
| title_full_unstemmed | The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains |
| title_short | The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains |
| title_sort | existence of the sign changing solutions for the kirchhoff schrodinger poisson system in bounded domains |
| url | http://dx.doi.org/10.1155/2020/8254898 |
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