In this article, we study the following fractional Schrodinger equation with electromagnetic fields and critical growth where (-Delta)(A) is the fractional magnetic operator with f is a continuous function, V is an element of C(Double-struck capital R-N, Double-struck capital R) and A is an element of C(Double-struck capital R-N,Double-struck capital R-N) are the electric and magnetic potentials, respectively. When V and f are asymptotically periodic in x, we prove that the equation has a ground state solution for large by Nehari method.
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East China Jiaotong Univ, Sch Basic Sci, Nanchang, Jiangxi, Peoples R ChinaEast China Jiaotong Univ, Sch Basic Sci, Nanchang, Jiangxi, Peoples R China
Huang, Ling
Wang, Li
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East China Jiaotong Univ, Sch Basic Sci, Nanchang, Jiangxi, Peoples R ChinaEast China Jiaotong Univ, Sch Basic Sci, Nanchang, Jiangxi, Peoples R China
Wang, Li
Feng, Shenghao
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East China Jiaotong Univ, Sch Basic Sci, Nanchang, Jiangxi, Peoples R ChinaEast China Jiaotong Univ, Sch Basic Sci, Nanchang, Jiangxi, Peoples R China