Existence and multiplicity of solutions for Kirchhoff equations with Hardy–Littlewood–Sobolev critical nonlinearity

2019 ◽  
Vol 92 ◽  
pp. 170-175 ◽  
Author(s):  
Yueqiang Song ◽  
Shaoyun Shi
Keyword(s):  
Critical Nonlinearity ◽  
Kirchhoff Equations ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

scholarly journals Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yongzhen Yun ◽  
Tianqing An ◽  
Guoju Ye
Keyword(s):  
Variational Method ◽  
Existence Results ◽  
Critical Growth ◽  
Concentration Compactness ◽  
Critical Nonlinearity ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

AbstractIn this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence results for the above equation, which improve the related results on this topic.

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