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-  2017 

Existence of Nontrivial Solutions for a Fractional Schrodinger-Maxwell Equation in $\mathbb{R}$3

DOI: 10.13718/j.cnki.xdzk.2017.12.009

Keywords: 分数阶Schr?dinger-Maxwell方程, 非平凡解, 山路定理
fractional Schrodinger-Maxwell equation
, nontrivial solution, mountain pass theorem

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研究一类分数阶Schr?dinger-Maxwell方程.在非线性项次临界增长的条件下, 考虑参数和扰动项的影响, 借助山路定理获得该问题非平凡解的存在性, 推广和完善了已有的一些结果.
In this paper, we investigate a class of fractional Schrodinger-Maxwell equations. Under the condition of subcritical growth of the nonlinear term, we consider the effect of the parameters and the perturbation term on the existence of the solutions. Using the mountain pass theorem, we obtain the existence of the nontrivial solutions for the problem. The above results extend and improve the existing study


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