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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5551561 |
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| Summary: | 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. |
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| ISSN: | 2314-8896 2314-8888 |