Existence and concentration of ground state solutions for critical Schrödinger–Poisson system with steep potential well

2020 ◽  
Vol 374 ◽  
pp. 125035
Author(s):  
Li-Feng Yin ◽  
Xing-Ping Wu ◽  
Chun-Lei Tang
Keyword(s):  
Ground State ◽  
Potential Well ◽  
Poisson System ◽  
Ground State Solutions ◽  
Steep Potential Well

Existence and Concentration of Positive Ground State Solutions for Schrödinger-Poisson Systems

2013 ◽  
Vol 13 (3) ◽  
Author(s):  
Jun Wang ◽  
Lixin Tian ◽  
Junxiang Xu ◽  
Fubao Zhang
Keyword(s):  
Small Parameter ◽  
Ground State ◽  
Ground State Solution ◽  
Real Parameter ◽  
State Solution ◽  
Poisson System ◽  
Ground State Solutions ◽  
Subcritical Nonlinearity

AbstractIn this paper, we study the existence and concentration of positive ground state solutions for the semilinear Schrödinger-Poisson systemwhere ε > 0 is a small parameter and λ ≠ 0 is a real parameter, f is a continuous superlinear and subcritical nonlinearity. Suppose that b(x) has a maximum. We prove that the system has a positive ground state solution

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