Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials
This paper is devoted to the 4-superlinear Schrödinger–Kirchhoff equation −a+b∫ℝ3∇u2dxΔu+Vxu=fx,u,in ℝ3, where a>0, b≥0. The potential V here is indefinite so that the Schrödinger operator −Δ+V possesses a finite-dimensional negative space. By using the Morse theory, we obtain nontrivial solution...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5551561 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561325953253376 |
|---|---|
| author | Wei Chen Yue Wu |
| author_facet | Wei Chen Yue Wu |
| author_sort | Wei Chen |
| collection | DOAJ |
| description | This paper is devoted to the 4-superlinear Schrödinger–Kirchhoff equation −a+b∫ℝ3∇u2dxΔu+Vxu=fx,u,in ℝ3, where a>0, b≥0. The potential V here is indefinite so that the Schrödinger operator −Δ+V possesses a finite-dimensional negative space. By using the Morse theory, we obtain nontrivial solutions for this problem. |
| format | Article |
| id | doaj-art-e63bee71ab7c45cf9a3f8317190becb7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e63bee71ab7c45cf9a3f8317190becb72025-02-03T01:25:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55515615551561Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite PotentialsWei Chen0Yue Wu1School of Mathematics and Statistics, Linyi University, Linyi 276000, ChinaSchool of Mathematics and Statistics, Linyi University, Linyi 276000, ChinaThis paper is devoted to the 4-superlinear Schrödinger–Kirchhoff equation −a+b∫ℝ3∇u2dxΔu+Vxu=fx,u,in ℝ3, where a>0, b≥0. The potential V here is indefinite so that the Schrödinger operator −Δ+V possesses a finite-dimensional negative space. By using the Morse theory, we obtain nontrivial solutions for this problem.http://dx.doi.org/10.1155/2021/5551561 |
| spellingShingle | Wei Chen Yue Wu Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials Journal of Function Spaces |
| title | Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials |
| title_full | Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials |
| title_fullStr | Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials |
| title_full_unstemmed | Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials |
| title_short | Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials |
| title_sort | nontrivial solutions for 4 superlinear schrodinger kirchhoff equations with indefinite potentials |
| url | http://dx.doi.org/10.1155/2021/5551561 |
| work_keys_str_mv | AT weichen nontrivialsolutionsfor4superlinearschrodingerkirchhoffequationswithindefinitepotentials AT yuewu nontrivialsolutionsfor4superlinearschrodingerkirchhoffequationswithindefinitepotentials |