scholarly journals Existence and multiplicity of solutions for a Kirchhoff system with critical growth

2021 ◽  
Vol 46 (1) ◽  
pp. 295-308
Author(s):  
Marcelo F. Furtado ◽  
Luan D. de Oliveira ◽  
João Pablo P. da Silva
Keyword(s):  
Critical Growth ◽  
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.

Existence and multiplicity of solutions for Kirchhoff–Schrödinger–Poisson system with critical growth

2021 ◽  
Author(s):  
Guofeng Che ◽  
Haibo Chen
Keyword(s):  
Variational Methods ◽  
Critical Growth ◽  
Poisson System ◽  
Nontrivial Solutions ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

This paper is concerned with the following Kirchhoff–Schrödinger–Poisson system: [Formula: see text] where constants [Formula: see text], [Formula: see text] and [Formula: see text] are the parameters. Under some appropriate assumptions on [Formula: see text], [Formula: see text] and [Formula: see text], we prove the existence and multiplicity of nontrivial solutions for the above system via variational methods. Some recent results from the literature are greatly improved and extended.

Sign in / Sign up

Export Citation Format

Share Document