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In this paper, we study the following Schrödinger–Poisson system { −∆u + u + μφu = λ f (x, u) + u5 in R3, −∆φ = μu2 in R3, where… Click to show full abstract
In this paper, we study the following Schrödinger–Poisson system { −∆u + u + μφu = λ f (x, u) + u5 in R3, −∆φ = μu2 in R3, where μ, λ > 0 are parameters and f ∈ C(R3 ×R, R). Under certain general assumptions on f (x, u), we prove the existence and concentration of solutions of the above system for each μ > 0 and λ sufficiently large. Our main result can be viewed as an extension of the results by Zhang [Nonlinear Anal. 75(2012), 6391–6401].
Keywords:
existence concentration;
concentration solutions;
schr dinger;
dinger poisson
Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2017
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Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2017
Link to full text (if available)
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recommendations!