EXSTENCE OF POSITIVE GROUND STATE SOLUTIONS FOR A CLASS OF ASYMPTOTICALLY PERIODIC SCHRODINGER-POISSON SYSTEMS

被引:0
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作者
Wang, Da-Bin [1 ]
Xie, Hua-Fei [1 ]
Guan, Wen [1 ]
机构
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
关键词
Schrodinger-Poisson systems; ground state solution; variational methods; CONCENTRATION-COMPACTNESS PRINCIPLE; KLEIN-GORDON-MAXWELL; SEMICLASSICAL STATES; CRITICAL GROWTH; EQUATIONS; EXISTENCE; NONLINEARITY; POTENTIALS; CALCULUS;
D O I
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, by using variational method, we study the existence of a positive ground state solution for the Schrodinger-Poisson system -Delta u + V(x)u + K(x)phi u = f(x, u), x is an element of R-3, -Delta phi = K(x)u(2), x is an element of R-3, where V (x), K (x) and f (x, u) are asymptotically periodic functions in x at infinity.
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页数:13
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