Infinitely Many High Energy Solutions for Kirchhoff-Schrödinger-Poisson Equation with 4-Superlinear Growth Condition
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Keywords

Kirchhoff-Schrödinger-Poisson equation, Fountain Theorem, High energy radial solutions, Variational methods.

How to Cite

Sha Li, & Ziheng Zhang. (2019). Infinitely Many High Energy Solutions for Kirchhoff-Schrödinger-Poisson Equation with 4-Superlinear Growth Condition. Journal of Advances in Applied & Computational Mathematics, 6, 29–34. https://doi.org/10.15377/2409-5761.2019.06.4

Abstract

In this article we study the following nonlinear problem of Kirchhoff-Schrödinger-Poisson equation with pure power nonlinearity
image-85682.jpg

where a,b and V are positive constants, and 3<p<5. Using the fountain theorem, we obtain infinitely many high energy radial solutions, where some new tricks associated with the scaling technique are introduced to overcome the difficulty caused by the combination of two nonlocal terms.

https://doi.org/10.15377/2409-5761.2019.06.4
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