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Combined effects of changing-sign potential and critical nonlinearities in Kirchhoff type problems

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type problems involving changing-sign potential and critical growth terms.
Gao-Sheng Liu, Liu-Tao Guo, Chun-Yu Lei
doaj  

Ground state solutions for asymptotically periodic Schrodinger-Poisson systems in R^2

open access: yesElectronic Journal of Differential Equations, 2018
This article concerns the planar Schrodinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+\phi u=f(x,u), \quad x\in \mathbb{R}^2,\cr \Delta \phi= u^2, \quad x\in \mathbb{R}^2, } $$ where V(x) and f(x, u) are periodic or asymptotically periodic in
Jing Chen, Sitong Chen, Xianhua Tang
doaj  

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