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A uniqueness result for Kirchhoff-Schrödinger-Poisson system with singularity(PDF)


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A uniqueness result for Kirchhoff-Schrödinger-Poisson system with singularity
 SONG ZhaoxiaHUANG Yongyan
 School of Mathmatical Sciences,Shanxi University,Taiyuan 030006,China
 Kirchhoff-Schr&#246dinger-Poisson system singularity uniqueness minimax method
O 177.91; O 175.2
 The Kirchhoff-Schrödinger-Poisson system with singularity is studied to obtain the uniqueness result of solution to the system. Firstly, the energy functional attains the global minimizer is proved. Secondly, the existence of the solution to the system is proved. However, because of the singular term, it cannot apply the critical point theory directly.The minimax method and monotone concergence theorem is used to prove. Finally, the uniqueness result of the solution is obtained.


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Last Update: 2017-07-22