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: | Wei Chen, Yue Wu |
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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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